% $PublicationNumber:lrr-2004-4$
% $BibSchema:new$
@article{haag:kastler64,
author = {Haag, R. and Kastler, D.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Quantum field theory, Functional analysis, Mathematical physics},
pages = {848--861},
title = {An algebraic approach to quantum field theory},
volume = {5},
year = {1964}
}
@article{belinfante39,
author = {Belinfante, F.J.},
format = {print},
journal = {Physica},
keywords = {Conserved quantities, Conservation laws, Classical field theory},
number = {9},
pages = {887--898},
title = {On the spin angular momentum of mesons},
volume = {VI},
year = {1939}
}
@article{belinfante40b,
author = {Belinfante, F.J.},
format = {print},
journal = {Physica},
keywords = {Conserved quantities, Conservation laws, Classical field theory},
pages = {449--474},
title = {On the current and the density of the electric charge, the energy, the linear momentum and the angular momentum of arbitrary fields},
volume = {VII},
year = {1940}
}
@article{rosenfeld40,
author = {Rosenfeld, L.},
format = {print},
journal = {Mem. R. Acad. Belg., Cl. Sci.},
keywords = {Conserved quantities, Conservation laws, Classical field theory},
number = {6},
title = {Sur le tenseur d'impulsion-\'energie},
volume = {18},
year = {1940}
}
@article{hehl76,
author = {Hehl, F.W.},
format = {print},
journal = {Rep. Math. Phys.},
keywords = {Conserved quantities, Conservation laws, Classical field theory},
pages = {55--82},
title = {On the energy tensor of spinning massive matter in classical field theory and general relativity},
volume = {9},
year = {1976}
}
@article{hehl:etal76,
author = {Hehl, F.W. and von der Heyde, P. and Kerlick, G.D. and Nester, J.M.},
format = {print},
journal = {Rev. Mod. Phys.},
keywords = {Conservation laws, Torsion, Classical field theory},
pages = {393--416},
title = {General relativity with spin and torsion: Foundation and prospects},
volume = {48},
year = {1976}
}
@article{hecht:nester93,
author = {Hecht, R.D. and Nester, J.M.},
format = {print},
journal = {Phys. Lett. A},
keywords = {Conserved quantities, Kerr solution, Anti-de Sitter space},
pages = {324--331},
title = {A new evaluation of PGT mass and spin},
volume = {180},
year = {1993}
}
@article{hecht:nester96,
author = {Hecht, R.D. and Nester, J.M.},
format = {print},
journal = {Phys. Lett. A},
keywords = {Conserved quantities, Null infinity, Alternative theories of gravitation},
pages = {81--89},
title = {An evaluation of mass and spin at null infinity for the PGT and GR gravity theories},
volume = {217},
year = {1996}
}
@article{julia:silva98,
author = {Julia, B. and Silva, S.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
onlineversion = {http://arXiv.org/abs/gr-qc/9804029v2},
pages = {2173--2215},
title = {Currents and superpotentials in classical gauge invariant theories I. Local results with applications to perfect fluids and general relativity},
volume = {15},
year = {1998}
}
@incollection{isenberg:nester80,
address = {New York, U.S.A.},
author = {Isenberg, J. and Nester, J.M.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
format = {print},
keywords = {Hamiltonian formulation, Canonical methods, Torsion},
pages = {23--97},
publisher = {Plenum Press},
title = {Canonical gravity},
volume = {1},
year = {1980}
}
@inproceedings{wipf94,
address = {Berlin, Germany; New York, U.S.A.},
author = {Wipf, A.},
booktitle = {Canonical Gravity: From Classical to Quantum},
conference = {Proceedings of the 117th WE Heraeus Seminar, Bad Honnef, Germany, 13--17 September 1993},
editor = {Ehlers, J. and Friedrich, H.},
format = {print},
keywords = {Hamiltonian formulation, Constraints, Canonical methods},
pages = {22--58},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Hamilton's formalism for systems with constraints},
volume = {434},
year = {1994}
}
@inproceedings{beig94,
address = {Berlin, Germany; New York, U.S.A.},
author = {Beig, R.},
booktitle = {Canonical Gravity: From Classical to Quantum},
conference = {Proceedings of the 117th WE Heraeus Seminar, Bad Honnef, Germany, 13--17 September 1993},
editor = {Ehlers, J. and Friedrich, H.},
format = {print},
keywords = {Hamiltonian formulation, Constraints, Canonical methods},
pages = {59--80},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {The classical theory of canonical general relativity},
volume = {434},
year = {1994}
}
@incollection{trautman62,
address = {New York, U.S.A.},
author = {Trautman, A.},
booktitle = {Gravitation: An Introduction to Current Research},
editor = {Witten, L.},
format = {print},
keywords = {Conservation laws, Pseudotensors, Superpotentials},
pages = {169--198},
publisher = {Wiley},
title = {Conservation laws in general relativity},
year = {1962}
}
@incollection{bergmann62,
address = {Berlin, Germany; New York, U.S.A.},
author = {Bergmann, P.G.},
booktitle = {Handbuch der Physik. Vol. IV: Prinzipien der Elektrodynamik und Relativit\"atstheorie},
editor = {Fl\"ugge, S.},
format = {print},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
pages = {203--242},
publisher = {Springer},
title = {The general theory of relativity},
year = {1962}
}
@article{goldberg58,
author = {Goldberg, J.N.},
format = {print},
journal = {Phys. Rev.},
keywords = {Conserved quantities, Pseudotensors, Superpotentials},
pages = {315--320},
title = {Conservation laws in general relativity},
volume = {111},
year = {1958}
}
@book{anderson67,
address = {New York, U.S.A.},
author = {Anderson, J.L.},
format = {print},
keywords = {Conserved quantities, Pseudotensors, Superpotentials},
publisher = {Academic Press},
title = {Principles of Relativity Physics},
year = {1967}
}
@incollection{goldberg80,
address = {New York, U.S.A.},
author = {Goldberg, J.N.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
format = {print},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
pages = {469--489},
publisher = {Plenum Press},
title = {Invariant transformations, conservation laws, and energy-momentum},
volume = {1},
year = {1980}
}
@article{bergmann:thomson53,
author = {Bergmann, P.G. and Thomson, R.},
format = {print},
journal = {Phys. Rev.},
keywords = {Conservation laws, Angular momentum, Spin},
pages = {400--407},
title = {Spin and angular momentum in general relativity},
volume = {89},
year = {1953}
}
@article{moller58,
author = {M{\o}ller, C.},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {Conserved quantities, Pseudotensors, Superpotentials},
pages = {347--371},
title = {On the localization of the energy of a physical system in general theory of relativity},
volume = {4},
year = {1958}
}
@article{ferraris:etal90,
author = {Ferraris, M. and Francaviglia, M.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
pages = {965--985},
title = {Covariant first-order Lagrangians, energy-density and superpotentials in general relativity},
volume = {22},
year = {1990}
}
@article{ferraris:etal92,
author = {Ferraris, M. and Francaviglia, M.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
pages = {S79--S95},
title = {Conservation laws in general relativity},
volume = {9},
year = {1992}
}
@article{borowiec:etal94,
author = {Borowiec, A. and Ferraris, M. and Francaviglia, M. and Volovich, I.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
pages = {637--645},
title = {Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism},
volume = {26},
year = {1994}
}
@article{wald90a,
author = {Wald, R.M.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Conserved quantities, Superpotentials, Classical field theory},
pages = {2378--2384},
title = {On identically closed forms locally constructed from a field},
volume = {31},
year = {1990}
}
@article{lee:wald90,
author = {Lee, J. and Wald, R.M.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Canonical methods, Yang-Mills theory, General relativity},
pages = {725--743},
title = {Local symmetries and constraints},
volume = {31},
year = {1990}
}
@article{wald93a,
author = {Wald, R.M.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black hole thermodynamics, Black holes, Variational principles},
onlineversion = {http://arXiv.org/abs/gr-qc/9307038v1},
pages = {3427--3431},
title = {Black hole entropy is Noether charge},
volume = {48},
year = {1993}
}
@preprint{wald97b,
author = {Wald, R.M.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9710068v3},
keywords = {Gravitational collapse, Black holes, Cosmic censorship},
note = {EFI Preprint No. 97-43},
title = {Gravitational Collapse and Cosmic Censorship},
url = {http://arXiv.org/abs/gr-qc/9710068v3},
year = {1997}
}
@article{joerg:sparling92,
author = {Frauendiener, J. and Sparling, G.A.J.},
format = {print},
journal = {Proc. R. Soc. London},
keywords = {Canonical methods, Theory of connections, Einstein equations},
pages = {141--153},
title = {On the symplectic formalism for general relativity},
volume = {436},
year = {1992}
}
@article{iyer:wald94,
author = {Iyer, V. and Wald, R.M.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Canonical methods, Black holes, Entropy},
onlineversion = {http://arXiv.org/abs/gr-qc/9403028v1},
pages = {846--864},
title = {Some properties of Noether charge and a proposal for dynamical black hole entropy},
volume = {50},
year = {1994}
}
@article{iyer:wald95,
author = {Iyer, V. and Wald, R.M.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Black holes, Entropy},
onlineversion = {http://arXiv.org/abs/gr-qc/9503052v1},
pages = {4430--4439},
title = {A comparison of Noether charge and Euclidean methods for computing the entropy of stationary black holes},
volume = {52},
year = {1995}
}
@preprint{giachetta:etal95a,
author = {Giachetta, G. and Sardanashvily, G.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9510061v1},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
note = {Preprint MPH-CAM-103-95},
title = {Stress-Energy-Momentum Tensors in Lagrangian Field Theory. Part 1. Superpotentials},
url = {http://arXiv.org/abs/gr-qc/9510061v1},
year = {1995}
}
@preprint{giachetta:etal95b,
author = {Giachetta, G. and Sardanashvily, G.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9511040v1},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
note = {Preprint MPH-CAM-108-95},
title = {Stress-Energy-Momentum Tensors in Lagrangian Field Theory. Part 2. Gravitational Superpotential},
url = {http://arXiv.org/abs/gr-qc/9511040v1},
year = {1995}
}
@article{rosen86,
author = {Rosen, N.},
format = {print},
journal = {Found. Phys.},
keywords = {Energy and momentum, Conserved quantities, Conservation laws},
pages = {997--1008},
title = {Localization of gravitational energy},
volume = {15},
year = {1986}
}
@article{katz:ori90,
author = {Katz, J. and Ori, A.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Energy and momentum, Conserved quantities, Conservation laws},
pages = {787--802},
title = {Localisation of field energy},
volume = {7},
year = {1990}
}
@article{aguirregabiria:etal96,
author = {Aguirregabiria, J.M. and Chamorro, A. and Virbhadra, K.S.},
cited = {29 January 2004},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Pseudotensors, Superpotentials, Kerr-Newman metric},
onlineversion = {http://arXiv.org/abs/gr-qc/9501002v3},
pages = {1393--1400},
title = {Energy and angular momentum of charged rotating black holes},
volume = {28},
year = {1996}
}
@article{katz:lerer97,
author = {Katz, J. and Lerer, D.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
onlineversion = {http://arXiv.org/abs/gr-qc/9612025},
pages = {2249--66},
title = {On global conservation laws at null infinity},
volume = {14},
year = {1997}
}
@article{katz:etal97,
author = {Katz, J. and Bicak, J. and Lynden-Bell, D.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Conservation laws, Superpotentials, Cosmological perturbations},
pages = {5957--5969},
title = {Relativistic conservation laws and integral constraints for large cosmological perturbations},
volume = {55},
year = {1997}
}
@inproceedings{petrov:katz99,
address = {Brussels, Belgium},
author = {Petrov, A.N. and Katz, J.},
booktitle = {Fundamental Interactions: From Symmetries to Black Holes},
cited = {29 January 2004},
conference = {Proceedings of the conference held 24--27 March 1999 at the Universit\'e Libre de Bruxelles, Belgium},
editor = {Frere, J.M. and Henneaux, M. and Servin, A. and Spindel, P.},
format = {print},
keywords = {Conservation laws, Superpotentials, Spacetime perturbations},
onlineversion = {http://arXiv.org/abs/gr-qc/9905088v1},
pages = {147--157},
publisher = {Universit\'e Libre de Bruxelles},
title = {Conservation laws for large perturbations on curved backgrounds},
year = {1999}
}
@article{petrov:katz02,
author = {Petrov, A.N. and Katz, J.},
cited = {29 January 2004},
format = {print},
journal = {Proc. R. Soc. London},
keywords = {Conservation laws, Superpotentials, Cosmological perturbations},
onlineversion = {http://arXiv.org/abs/gr-qc/9911025v3},
pages = {319--337},
title = {Relativistic conservation laws on curved backgrounds and the theory of cosmological perturbations},
volume = {458},
year = {2002}
}
@unpublished{sparling82,
author = {Sparling, G.A.J.},
format = {unknown},
keywords = {Einstein equations, Superpotentials, Differential geometry},
note = {University of Pittsburgh Preprint},
title = {Twistors, spinors and the Einstein vacuum equations},
year = {1982}
}
@article{dubois-violette:madore87,
author = {Dubois-Violette, M. and Madore, J.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Einstein equations, Superpotentials, Differential geometry},
pages = {213--223},
title = {Conservation laws and integrability conditions for gravitational and Yang-Mills equations},
volume = {108},
year = {1987}
}
@article{joerg89,
author = {Frauendiener, J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Pseudotensors, Superpotentials, Theory of connections},
pages = {L237--L241},
title = {Geometric description of energy-momentum pseudotensors},
volume = {6},
year = {1989}
}
@incollection{mason:joerg90,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Mason, L.J. and Frauendiener, J.},
booktitle = {Twistors in Mathematics and Physics},
editor = {Bailey, T.N. and Baston, R.J.},
format = {print},
keywords = {Quasi-local mass, Conserved quantities, Ashtekar variables},
pages = {189--217},
publisher = {Cambridge University Press},
series = {London Mathematical Society Lecture Note Series},
title = {The Sparling 3-form, Ashtekar variables and quasi-local mass},
volume = {156},
year = {1990}
}
@unpublished{szab91,
author = {Szabados, L.B.},
format = {unknown},
keywords = {Pseudotensors, Superpotentials, Theory of connections},
note = {KFKI Report 1991-29/B},
title = {Canonical pseudotensors, Sparling's form and Noether currents},
year = {1991}
}
@article{szab92,
author = {Szabados, L.B.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Pseudotensors, Superpotentials, Theory of connections},
pages = {2521--2541},
title = {On canonical pseudotensors, Sparling's form and Noether currents},
volume = {9},
year = {1992}
}
@article{chang:nester:chen99,
author = {Chang, C.-C. and Nester, J.M. and Chen, C.-M.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quasi-local energy-momentum, Hamiltonian formulation, Pseudotensors},
onlineversion = {http://arXiv.org/abs/gr-qc/9809040v2},
pages = {1897--1901},
title = {Pseudotensors and quasi-local energy-momentum},
volume = {83},
year = {1999}
}
@article{york72,
author = {York, J.W.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Cauchy problem, Conformal geometry, Constraint equations},
pages = {1082--1085},
title = {Role of conformal three-geometry in the dynamics of gravitation},
volume = {28},
year = {1972}
}
@article{york86,
author = {York Jr, J.W.},
format = {print},
journal = {Found. Phys.},
keywords = {Hamiltonian formulation, Boundary conditions, Initial boundary value problem},
pages = {249--257},
title = {Boundary terms in the action principles of general relativity},
volume = {16},
year = {1986}
}
@article{ghayward93,
author = {Hayward, G.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Hamiltonian formulation, Canonical methods, Variational methods},
pages = {3275--3280},
title = {Gravitational action for spacetimes with nonsmooth boundaries},
volume = {47},
year = {1993}
}
@article{moller61b,
author = {M{\o}ller, C.},
format = {print},
journal = {Mat.-Fys. Skr. K. Danske Vid. Selsk.},
keywords = {Tetrad formalism, Conservation laws, Superpotentials},
number = {10},
pages = {1--50},
title = {Conservation laws and absolute parallelism in general relativity},
volume = {1},
year = {1961}
}
@article{pellegrini:plebanski63,
author = {Pellegrini, C. and Plebanski, J.},
format = {print},
journal = {Mat.-Fys. Skr. K. Danske Vid. Selsk.},
keywords = {Tetrad formalism, Conservation laws, Superpotentials},
number = {4},
pages = {1--39},
title = {Tetrad fields and gravitational fields},
volume = {2},
year = {1963}
}
@article{maluf94,
author = {Maluf, J.W.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Hamiltonian formulation, Constraints, Tetrad formalism},
pages = {335--343},
title = {Hamiltonian formulation of the teleparallel description of general relativity},
volume = {35},
year = {1994}
}
@article{nester:tung95,
author = {Nester, J.M. and Tung, R.-S.},
cited = {29 January 2004},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Quadratic Lagrangians, Spinors, General relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/9407004},
pages = {115--119},
title = {A quadratic spinor Lagrangian for general relativity},
volume = {27},
year = {1995}
}
@article{tung:jacobson95,
author = {Tung, R.S. and Jacobson, T.},
cited = {21 February 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quadratic Lagrangians, Spinors, General relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/9502037v1},
pages = {L51--L55},
title = {Spinor 1-forms as gravitational potentials},
volume = {12},
year = {1995}
}
@article{tung:nester99,
author = {Tung, R.-S. and Nester, J.M.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quadratic Lagrangians, Spinors, General relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/9809030v2},
pages = {021501-1--5},
title = {The quadratic spinor Lagrangian is equivalent to the teleparallel theory},
volume = {60},
year = {1999}
}
@article{nester89a,
author = {Nester, J.M.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Tetrad formalism, Energy and momentum, Gauge conditions},
pages = {624--626},
title = {A gauge condition for orthonormal three-frames},
volume = {30},
year = {1989}
}
@article{nester92,
author = {Nester, J.M.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Tetrad formalism, Energy and momentum, Gauge conditions},
pages = {910--913},
title = {Special orthonormal frames},
volume = {33},
year = {1992}
}
@unpublished{szabxx,
author = {Szabados, L.B.},
format = {unknown},
keywords = {Quasi-local energy-momentum, Quasi-local angular momentum, Tetrad formalism},
title = {Quasi-local energy-momentum and angular momentum in general relativity I.: The covariant Lagrangian approach},
year = {2000}
}
@article{komar59,
author = {Komar, A.},
format = {print},
journal = {Phys. Rev.},
keywords = {Conservation laws, Conserved quantities, Superpotentials},
pages = {934--936},
title = {Covariant conservation laws in general relativity},
volume = {113},
year = {1959}
}
@article{senovilla00a,
author = {Senovilla, J.M.M.},
cited = {29 January 2004},
format = {print},
journal = {Mod. Phys. Lett. A},
keywords = {Conservation laws, Conserved quantities, Energy and momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/9905057v1},
pages = {159--166},
title = {(Super)${}^n$-energy for arbitrary fields and its interchange: Conserved quantities},
volume = {15},
year = {2000}
}
@article{senovilla00b,
author = {Senovilla, J.M.M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Conservation laws, Conserved quantities, Energy and momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/9906087v1},
pages = {2799--2842},
title = {Super-energy tensors},
volume = {17},
year = {2000}
}
@article{adm60,
author = {Arnowitt, R. and Deser, S. and Misner, C.W.},
format = {print},
journal = {Phys. Rev.},
keywords = {ADM formalism, Energy and momentum, Asymptotically flat data},
pages = {1100--1104},
title = {Energy and the criteria for radiation in general relativity},
volume = {118},
year = {1960}
}
@article{adm61a,
author = {Arnowitt, R. and Deser, S. and Misner, C.W.},
format = {print},
journal = {Phys. Rev.},
keywords = {ADM formalism, Energy and momentum, Asymptotically flat data},
pages = {1556--1566},
title = {Wave zone in general relativity},
volume = {121},
year = {1961}
}
@article{adm61b,
author = {Arnowitt, R. and Deser, S. and Misner, C.W.},
format = {print},
journal = {Phys. Rev.},
keywords = {ADM formalism, Energy and momentum, Asymptotically flat data},
pages = {997--1006},
title = {Coordinate invariance and energy expressions in general relativity},
volume = {122},
year = {1961}
}
@incollection{adm62,
address = {New York, U.S.A.},
author = {Arnowitt, R. and Deser, S. and Misner, C.W.},
booktitle = {Gravitation, an Introduction to Current Research},
cited = {21 February 2005},
editor = {Witten, L.},
format = {print},
keywords = {ADM formalism, Energy and momentum, Asymptotically flat data},
onlineversion = {http://arXiv.org/abs/gr-qc/0405109v1},
pages = {227--265},
publisher = {Wiley},
title = {The dynamics of general relativity},
year = {1962}
}
@incollection{ashtekar80b,
address = {New York, U.S.A.},
author = {Ashtekar, A.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
format = {print},
keywords = {Asymptotic flatness, Spatial infinity, Conserved quantities},
pages = {37--69},
publisher = {Plenum Press},
title = {Asymptotic structure of the gravitational field at spatial infinity},
volume = {2},
year = {1980}
}
@inproceedings{geroch77,
address = {New York, U.S.A.},
author = {Geroch, R.},
booktitle = {Asymptotic Structure of Spacetime},
conference = {Proceedings of a Symposium on Asymptotic Structure of Space-Time (SOASST), held at the University of Cincinnati, Ohio, June 14--18, 1976},
editor = {Esposito, F.P. and Witten, L.},
format = {print},
keywords = {Asymptotic flatness, Spatial infinity, Null infinity},
pages = {1--105},
publisher = {Plenum Press},
title = {Asymptotic structure of space-time},
year = {1977}
}
@article{sommers78,
author = {Sommers, P.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Asymptotic flatness, Spatial infinity, Conserved quantities},
pages = {549--554},
title = {The geometry of the gravitational field at spacelike infinity},
volume = {19},
year = {1978}
}
@article{RT74,
author = {Regge, T. and Teitelboim, C.},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {ADM formalism, Hamiltonian formulation, Energy and momentum},
pages = {286--318},
title = {Role of surface integrals in the Hamiltonian formulation of general relativity},
volume = {88},
year = {1974}
}
@article{BM87,
author = {Beig, R. and \'O Murchadha, N.},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {Asymptotic flatness, Spatial infinity, Hamiltonian formulation},
pages = {463--498},
title = {The Poincar\'e group as the symmetry group of canonical general relativity},
volume = {174},
year = {1987}
}
@inproceedings{chrusciel86a,
address = {New York, U.S.A.},
author = {Chru\'sciel, P.T.},
booktitle = {Topological Properties and Global Structure of Space-time},
conference = {Proceedings of a NATO Advanced Study Institute, held May 12--22, 1985, in Erice, Italy},
editor = {Bergmann, P.G. and de Sabbata, V.},
format = {print},
keywords = {Asymptotic flatness, Spatial infinity, Hamiltonian formulation},
pages = {49--59},
publisher = {Plenum Press},
series = {NATO ASI Series B},
title = {Boundary conditions at spacelike infinity from a Hamiltonian point of view},
volume = {138},
year = {1986}
}
@article{bartnik86,
author = {R. Bartnik},
format = {print},
journal = {Commun. Pure Appl. Math.},
keywords = {Energy and momentum, Asymptotic flatness, Sobolev spaces},
pages = {661--693},
title = {The mass of an asymptotically flat manifold},
volume = {39},
year = {1986}
}
@article{niall86,
author = {\'O Murchadha, N.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Asymptotic flatness, Spatial infinity, Energy and momentum},
pages = {2111--2128},
title = {Total energy-momentum in general relativity},
volume = {27},
year = {1986}
}
@article{chrusciel86b,
author = {Chru\'sciel, P.T.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Spatial infinity, Positive energy theorems, Sobolev spaces},
pages = {L115--L121},
title = {A remark on the positive-energy theorem},
volume = {3},
year = {1986}
}
@article{szab03,
author = {Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Hamiltonian formulation, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0302033v2},
pages = {2627--2661},
title = {On the roots of the Poincar\'e structure of asymptotically flat spacetimes},
volume = {20},
year = {2003}
}
@article{abbott:deser82,
author = {Abbott, L.F. and Deser, S.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Anti-de Sitter space, Conserved quantities, Stability},
pages = {76--96},
title = {Stability of gravity with a cosmological constant},
volume = {195},
year = {1982}
}
@article{gibbons:etal83b,
author = {Gibbons, G.W. and Hull, C.M. and Warner, N.P.},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Positive energy theorems, Anti-de Sitter space, Stability},
pages = {173--190},
title = {The stability of gauged supergravity},
volume = {218},
year = {1983}
}
@article{ashtekar:magnon84,
author = {Ashtekar, A. and Magnon, A.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Anti-de Sitter space, Conserved quantities, Conformal geometry},
pages = {L39--L44},
title = {Asymptotically anti-de Sitter spacetimes},
volume = {1},
year = {1984}
}
@article{henneaux:etal04,
author = {Henneaux, M. and Martinez, C. and Troncose, R. and Zanelli, J.},
cited = {21 February 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {Asymptotic flatness, Null infinity, Energy and momentum},
onlineversion = {http://arXiv.org/abs/hep-th/0404236v2},
pages = {044034--1-4},
title = {Anti-de Sitter space, asymptotics, scalar fields},
volume = {70},
year = {2004}
}
@incollection{crnkovic:witten87,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Crnkovic, C. and Witten, E.},
booktitle = {Three Hundred Years of Gravitation},
editor = {Hawking, S.W. and Israel, W.},
format = {print},
keywords = {Canonical methods, Yang-Mills theory, General relativity},
pages = {676--684},
publisher = {Cambridge University Press},
title = {Covariant description of canonical formalism in geometrical theories},
year = {1987}
}
@incollection{ashtekar:etal90,
address = {Amsterdam, Netherlands; New York, U.S.A.},
author = {Ashtekar, A. and Bombelli, L. and Reula, O.},
booktitle = {Mechanics, Analysis and Geometry: 200 Years after Lagrange},
editor = {Francaviglia, M. and Holm, D.},
format = {print},
keywords = {Canonical methods, Conserved quantities, Asymptotic flatness},
publisher = {North-Holland},
title = {The covariant phase space of asymptotically flat gravitational fields},
year = {1990}
}
@article{ashtekar:hansen78,
author = {Ashtekar, A. and Hansen, R.O.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Asymptotic flatness, Spatial infinity, Null infinity},
pages = {1542--1566},
title = {A unified treatment of null and spatial infinity in general relativity. I. Universal structure, asymptotic symmetries, and conserved quantities at spatial infinity},
volume = {19},
year = {1978}
}
@article{beig:schmidt82,
author = {Beig, R. and Schmidt, B.G.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Asymptotic flatness, Spatial infinity, Einstein equations},
pages = {65--80},
title = {Einstein's equations near spatial infinity},
volume = {87},
year = {1982}
}
@article{beig84,
author = {Beig, R.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotic flatness, Spatial infinity, Einstein equations},
pages = {295--304},
title = {Integration of Einstein's equations near spatial infinity},
volume = {391},
year = {1984}
}
@article{ashtekar:romano92,
author = {Ashtekar, A. and Romano, J.D.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Spatial infinity, Conserved quantities},
pages = {1069--1100},
title = {Spatial infinity as a boundary of spacetime},
volume = {9},
year = {1992}
}
@article{friedrich98,
author = {Friedrich, H.},
format = {print},
journal = {J. Geom. Phys.},
keywords = {Asymptotic flatness, Spatial infinity, Null infinity},
pages = {83--163},
title = {Gravitational fields near space-like and null infinity},
volume = {24},
year = {1998}
}
@article{jezierski:kijowski90,
author = {J. Jezierski and J. Kijowski},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Energy and momentum, Linearized gravity, Gauge theories},
pages = {1283--1307},
title = {The localization of energy in gauge field theories and in linear gravitation},
volume = {22},
year = {1990}
}
@article{bondi60,
author = {Bondi, H.},
format = {print},
journal = {Nature},
keywords = {Gravitational waves, Asymptotic flatness, Null infinity},
pages = {535},
title = {Gravitational waves in general relativity},
volume = {186},
year = {1960}
}
@article{bondi:etal62,
author = {Bondi, H. and van den Burg, M.G.J. and Metzner, A.W.K.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Null infinity, Asymptotic flatness, Gravitational waves},
pages = {21--52},
title = {Gravitational waves in general relativity VII. Waves from axi-symmetric isolated systems},
volume = {269},
year = {1962}
}
@article{sachs62b,
author = {Sachs, R.K.},
format = {print},
journal = {Phys. Rev.},
keywords = {Null infinity, Asymptotic flatness, Symmetry},
pages = {2851--2864},
title = {Asymptotic symmetries in gravitational theory},
volume = {125},
year = {1962}
}
@article{newman:unti62,
author = {Newman, E.T. and Unti, T.W.J.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Null infinity, Asymptotic flatness, Gravitational radiation},
pages = {891--901},
title = {Behavior of asymptotically flat empty spaces},
volume = {3},
year = {1962}
}
@article{penrose63,
author = {Penrose, R.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Asymptotics, Asymptotic flatness, Conformal geometry},
pages = {66--68},
title = {Asymptotic properties of fields and space-times},
volume = {10},
year = {1963}
}
@inproceedings{penrose64,
address = {New York, U.S.A.},
author = {Penrose, R.},
booktitle = {Relativity, Groups and Topology},
conference = {Lectures delivered at Les Houches during the 1963 session of the Summer School of Theoretical Physics, University of Grenoble},
editor = {DeWitt, C. and DeWitt, B.S.},
format = {print},
keywords = {Asymptotics, Asymptotic flatness, Conformal geometry},
pages = {564--584},
publisher = {Gordon and Breach},
title = {Conformal treatment of infinity},
year = {1964}
}
@article{penrose65a,
author = {Penrose, R.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotics, Spinors, Conformal geometry},
pages = {159--203},
title = {Zero rest-mass fields including gravitation: asymptotic behaviour},
volume = {248},
year = {1965}
}
@article{penrose80,
author = {Penrose, R.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Characteristic initial value problem, Null surfaces, Spinors},
pages = {225--264},
title = {Null hypersurface initial data for classical fields of arbitrary spin and for general relativity},
volume = {12},
year = {1980}
}
@article{exton:etal69,
author = {Exton, A.R. and Newman, E.T. and Penrose, R.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
pages = {1566--1570},
title = {Conserved quantities in the Einstein--Maxwell theory},
volume = {10},
year = {1969}
}
@article{bramson75a,
author = {Bramson, B.D.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotic flatness, Null infinity, Spinors},
pages = {451--461},
title = {The alignment of frames of reference at null infinity for asymptotically flat Einstein--Maxwell manifolds},
volume = {341},
year = {1975}
}
@article{bramson75b,
author = {Bramson, B.D.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotic flatness, Null infinity, Angular momentum},
pages = {463--490},
title = {Relativistic angular momentum for asymptotically flat Einstein--Maxwell manifolds},
volume = {341},
year = {1975}
}
@inproceedings{bramson77,
address = {New York, U.S.A.},
author = {Bramson, B.D.},
booktitle = {Asymptotic structure of spacetime},
conference = {Proceedings of a Symposium on Asymptotic Structure of Space-Time (SOASST), held at the University of Cincinnati, Ohio, June 14--18, 1976},
editor = {Espositio, P. and Witten, L.},
format = {print},
keywords = {Asymptotic flatness, Null infinity, Spinors},
pages = {273--359},
publisher = {Plenum Press},
title = {Physics in cone space},
year = {1977}
}
@article{bramson78,
author = {Bramson, B.D.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotic flatness, Null infinity, Angular momentum},
pages = {463--490},
title = {The invariance of spin},
volume = {364},
year = {1978}
}
@incollection{newman:tod80,
address = {New York, U.S.A.},
author = {Newman, E.T. and Tod, K.P.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
format = {print},
keywords = {Asymptotic flatness, Null infinity, Newman-Penrose formalism},
pages = {1--36},
publisher = {Plenum Press},
title = {Asymptotically flat space-times},
volume = {2},
year = {1980}
}
@incollection{winicour80,
address = {New York, U.S.A.},
author = {Winicour, J.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
format = {print},
keywords = {Asymptotic flatness, Angular momentum, Conserved quantities},
pages = {71--96},
publisher = {Plenum Press},
title = {Angular momentum in general relativity},
volume = {2},
year = {1980}
}
@article{shaw86a,
author = {Shaw, W.T.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Null infinity, Twistors},
pages = {1069--1104},
title = {The asymptopia of quasi-local mass and momentum: I. General formalism and stationary spacetimes},
volume = {3},
year = {1986}
}
@inproceedings{shaw88,
address = {Providence, U.S.A.},
author = {Shaw, W.T.},
booktitle = {Mathematics and General Relativity},
conference = {Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 22--28, 1986},
editor = {Isenberg, J.A.},
format = {print},
keywords = {Quasi-local mass, Mass functions, Asymptotics},
pages = {15--22},
publisher = {American Mathematical Society},
series = {Contemporary Mathematics},
title = {Quasi-local mass for `large' spheres},
volume = {71},
year = {1988}
}
@article{chrusciel:etal98a,
author = {Chru\'sciel, P.T. and Jezierski, J. and MacCallum, M.A.H.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Asymptotic flatness, Null infinity, Energy and momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/9801073v1},
pages = {5052--5055},
title = {Uniqueness of scalar field energy and gravitational energy in the radiating regime},
volume = {80},
year = {1998}
}
@article{chrusciel:etal98b,
author = {Chru\'sciel, P.T. and Jezierski, J. and MacCallum, M.A.H.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Asymptotic flatness, Null infinity, Energy and momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/9803010v1},
pages = {084001-1--16},
title = {Uniqueness of the Trautman--Bondi mass},
volume = {58},
year = {1998}
}
@book{chrusciel:etal01,
address = {Berlin, Germany; New York, U.S.A.},
author = {Chru\'sciel, P.T. and Jezierski, J. and Kijowski, J.},
format = {print},
keywords = {Asymptotic flatness, Null infinity, Hamiltonian formulation},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Hamiltonian Field Theory in the Radiating Regime},
volume = {m70},
year = {2002}
}
@article{szab01,
author = {Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local angular momentum, Spinors, Null infinity},
note = {Corrigendum: Class. Quantum Grav. {\bf 19} 2333 (2002)},
onlineversion = {http://arxiv.org/abs/gr-qc/0109047},
pages = {5487--5510},
title = {On certain quasi-local spin-angular momentum expressions for large spheres near the null infinity},
volume = {18},
year = {2001}
}
@article{joerg00,
author = {Frauendiener, J.},
cited = {29 January 2004},
format = {electronic},
id = {lrr-2000-4},
journal = {Living Rev. Relativity},
keywords = {Asymptotic flatness, Null infinity, Numerical relativity},
title = {Conformal infinity},
url = {http://www.livingreviews.org/lrr-2000-4},
volume = {3},
year = {2000}
}
@article{winicour:tamburino65,
author = {Winicour, J.H. and Tamburino, L.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
pages = {601--605},
title = {Lorentz-covariant gravitational energy-momentum linkages},
volume = {15},
year = {1965}
}
@article{lind:etal72a,
author = {Lind, R.W. and Messmer, J. and Newman, E.T.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Asymptotic flatness, Null infinity, Gravitational radiation},
pages = {1884--1891},
title = {Equations of motion for the sources of asymptotically flat spaces},
volume = {13},
year = {1972}
}
@article{katz85,
author = {Katz, J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Superpotentials, Energy and momentum, Angular momentum},
pages = {423--425},
title = {A note on Komar's anomalous factor},
volume = {2},
year = {1985}
}
@article{geroch:winicour81,
author = {Geroch, R. and Winicour, J.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
pages = {803--812},
title = {Linkages in general relativity},
volume = {22},
year = {1981}
}
@article{streubel78,
author = {Streubel, M.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
pages = {551--561},
title = {``Conserved'' quantities for isolated gravitational systems},
volume = {9},
year = {1978}
}
@article{ashtekar:streubel81,
author = {Ashtekar, A. and Streubel, M.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
pages = {585--607},
title = {Symplectic geometry of radiative modes and conserved quantities at null infinity},
volume = {376},
year = {1981}
}
@article{winicour:ashtekar82,
author = {Ashtekar, A. and Winicour, J.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
pages = {2410--2417},
title = {Linkages and Hamiltonians at null infinity},
volume = {23},
year = {1982}
}
@article{dray:streubel84,
author = {Dray, T. and Streubel, M.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Angular momentum, Asymptotic flatness, Null infinity},
pages = {15--26},
title = {Angular momentum at null infinity},
volume = {1},
year = {1984}
}
@article{shaw84a,
author = {Shaw, W.T.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Null infinity, Twistors},
pages = {L33--L37},
title = {Symplectic geometry of null infinity and two-surface twistors},
volume = {1},
year = {1984}
}
@article{dray85,
author = {Dray, T.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Null infinity, Conserved quantities},
pages = {L7--L10},
title = {Momentum flux at null infinity},
volume = {2},
year = {1985}
}
@article{helfer90,
author = {Helfer, A.D.},
format = {print},
journal = {Phys. Lett. A},
keywords = {Asymptotic flatness, Null infinity, Angular momentum},
pages = {342--344},
title = {The angular momentum of gravitational radiation},
volume = {150},
year = {1990}
}
@article{dain:moreschi00,
author = {Dain, S. and Moreschi, O.M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Null infinity, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0203048v1},
pages = {3663--3672},
title = {General existence proof for rest frame systems in asymptotically flat spacetime},
volume = {17},
year = {2000}
}
@preprint{moreschi03,
author = {Moreschi, O.M.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/0305010v1},
keywords = {Asymptotic flatness, Null infinity, Angular momentum},
title = {Unambiguous angular momentum of radiative spacetimes and asymptotic structure in terms of the center of mass system},
url = {http://arXiv.org/abs/gr-qc/0305010v1},
year = {2003}
}
@article{moreschi04,
author = {Moreschi, O.M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Null infinity, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0209097v2},
pages = {5409--5425},
title = {Intrinsic angular momentum and centre of mass in general relativity},
volume = {21},
year = {2004}
}
@article{schoen:yau79b,
author = {Schoen, R. and Yau, S.-T.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Asymptotic flatness, Spatial infinity, Positive energy theorems},
pages = {1457--1459},
title = {Positivity of the total mass of a general space-time},
volume = {43},
year = {1979}
}
@article{schoen:yau81,
author = {Schoen, R. and Yau, S.-T.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Asymptotic flatness, Spatial infinity, Positive energy theorems},
pages = {231--260},
title = {Proof of the positive mass theorem. II},
volume = {79},
year = {1981}
}
@article{schoen:yau82,
author = {Schoen, R. and Yau, S.-T.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Asymptotic flatness, Null infinity, Positive energy theorems},
pages = {369--371},
title = {Proof that the Bondi mass is positive},
volume = {48},
year = {1982}
}
@article{witten81,
author = {Witten, E.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Asymptotic flatness, Spatial infinity, Positive energy theorems},
pages = {381--402},
title = {A new proof of the positive energy theorem},
volume = {30},
year = {1981}
}
@article{nester81,
author = {Nester, J.M.},
format = {print},
journal = {Phys. Lett. A},
keywords = {Asymptotic flatness, Spatial infinity, Positive energy theorems},
pages = {241--242},
title = {A new gravitational energy expression with a simple positivity proof},
volume = {83},
year = {1981}
}
@article{israel:nester81,
author = {Israel, W. and Nester, J.M.},
format = {print},
journal = {Phys. Lett. A},
keywords = {Asymptotic flatness, Null infinity, Positive energy theorems},
pages = {259--260},
title = {Positivity of the Bondi gravitational mass},
volume = {85},
year = {1981}
}
@article{ludvigsen:vickers81,
author = {Ludvigsen, M. and Vickers, J.A.G.},
format = {print},
journal = {J. Phys. A},
keywords = {Asymptotic flatness, Null infinity, Positive energy theorems},
pages = {L389--L391},
title = {The positivity of the Bondi mass},
volume = {14},
year = {1981}
}
@article{ludvigsen:vickers82,
author = {Ludvigsen, M. and Vickers, J.A.G.},
format = {print},
journal = {J. Phys. A},
keywords = {Asymptotic flatness, Null infinity, Positive energy theorems},
pages = {L67--L70},
title = {A simple proof of the positivity of the Bondi mass},
volume = {15},
year = {1982}
}
@article{horowitz:perry82,
author = {Horowitz, G.T. and Perry, M.J.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Positive energy theorems, Spinors, Null infinity},
pages = {371--374},
title = {Gravitational energy cannot become negative},
volume = {48},
year = {1982}
}
@article{ashtekar:horowitz82,
author = {Ashtekar, A. and Horowitz, G.T.},
format = {print},
journal = {Phys. Lett.},
keywords = {Asymptotic flatness, Spatial infinity, Positive energy theorems},
pages = {181--184},
title = {Energy-momentum of isolated systems cannot be null},
volume = {89A},
year = {1982}
}
@article{reula82,
author = {Reula, O.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Positive energy theorems, Spinors, Spatial infinity},
pages = {810--814},
title = {Existence theorem for solutions of Witten's equation and nonnegativity of total mass},
volume = {23},
year = {1982}
}
@article{horowitz:tod82,
author = {Horowitz, G.T. and Tod, K.P.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Positive energy theorems, Asymptotic flatness, Spinors},
pages = {429--447},
title = {A relation between local and total energy in general relativity},
volume = {85},
year = {1982}
}
@article{gibbons:etal83a,
author = {Gibbons, G.W. and Hawking, S.W. and Horowitz, G.T. and Perry, M.J.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Positive energy theorems, Black holes, Event horizons},
pages = {295--308},
title = {Positive mass theorem for black holes},
volume = {88},
year = {1983}
}
@article{reula:tod84,
author = {Reula, O. and Tod, K.P.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Positive energy theorems, Spinors, Null infinity},
pages = {1004--1008},
title = {Positivity of the Bondi energy},
volume = {25},
year = {1984}
}
@inproceedings{horowitz84,
address = {Berlin, Germany; New York, U.S.A.},
author = {Horowitz, G.T.},
booktitle = {Asymptotic Behavior of Mass and Spacetime Geometry},
conference = {Proceedings of the conference, held at Oregon State University, Corvallis, Oregon, USA, October 17--21, 1983},
editor = {Flaherty, F.J.},
format = {print},
keywords = {Positive energy theorems, Black holes, Asymptotic flatness},
pages = {1--21},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {The positive energy theorem and its extensions},
volume = {202},
year = {1984}
}
@inproceedings{perry84,
address = {Berlin, Germany; New York, U.S.A.},
author = {Perry, M.J.},
booktitle = {Asymptotic Behavior of Mass and Spacetime Geometry},
conference = {Proceedings of the conference, held at Oregon State University, Corvallis, Oregon, USA, October 17--21, 1983},
editor = {Flaherty, F.J.},
format = {print},
keywords = {Positive energy theorems, Black holes, Asymptotic flatness},
pages = {31--40},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {The positive energy theorem and black holes},
volume = {202},
year = {1984}
}
@article{herzlich98,
author = {Herzlich, M.},
format = {print},
journal = {J. Geom. Phys.},
keywords = {Black holes, Positive energy theorems, Spinors},
pages = {97--111},
title = {The positive mass theorem for black holes revisited},
volume = {26},
year = {1998}
}
@article{moreschi:sparling84,
author = {Moreschi, O.M. and Sparling, G.A.J.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Positive energy theorems, Spinors, Spatial infinity},
pages = {113--120},
title = {On the positive energy theorem involving mass and electromagnetic charges},
volume = {95},
year = {1984}
}
@inproceedings{ashtekar84,
address = {Berlin, Germany; New York, U.S.A.},
author = {Ashtekar, A.},
booktitle = {Asymptotic Behavior of Mass and Spacetime Geometry},
conference = {Proceedings of the conference, held at Oregon State University, Corvallis, Oregon, USA, October 17--21, 1983},
editor = {Flaherty, F.J.},
format = {print},
keywords = {Asymptotic flatness, Spatial infinity, Conserved quantities},
pages = {95--109},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {On the boundary conditions for gravitational and gauge fields at spatial infinity},
volume = {202},
year = {1984}
}
@article{bizon:malec86,
author = {Bizo\'n, P. and Malec, E.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Spatial infinity, Positive energy theorems},
pages = {L123--L128},
title = {On Witten's positive-energy proof for weakly asymptotically flat spacetimes},
volume = {3},
year = {1986}
}
@article{jacek89,
author = {Jezierski, J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Asymptotic flatness, Gauge conditions, Positive energy theorems},
pages = {1535--1539},
title = {Positivity of mass for spacetimes with horizons},
volume = {6},
year = {1989}
}
@article{jacek94a,
author = {Jezierski, J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Spacetime perturbations, Reissner-Nordstr{\"{o}}m solution, Gauge conditions},
pages = {1055--1068},
title = {Stability of Reissner--Nordstr\"om solution with respect to small perturbations of initial data},
volume = {11},
year = {1994}
}
@article{jacek94b,
author = {Jezierski, J.},
format = {print},
journal = {Acta Phys. Pol. B},
keywords = {Spacetime perturbations, Reissner-Nordstr{\"{o}}m solution, Penrose inequalities},
pages = {1413--1417},
title = {Perturbation of initial data for spherically symmetric charged black hole and Penrose conjecture},
volume = {25},
year = {1994}
}
@article{nester89b,
author = {Nester, J.M.},
format = {print},
journal = {Phys. Lett. A},
keywords = {Tetrad formalism, Gauge conditions, Positive energy theorems},
pages = {112--114},
title = {A positive gravitational energy proof},
volume = {139},
year = {1989}
}
@article{yau01,
author = {Yau, S.-T.},
cited = {29 January 2004},
format = {print},
journal = {Adv. Theor. Math. Phys.},
keywords = {Black holes, Boundary conditions, Differential geometry},
onlineversion = {http://arxiv.org/abs/math.DG/0109053v2},
pages = {755--767},
title = {Geometry of three manifolds and existence of black holes due to boundary effect},
volume = {5},
year = {2001}
}
@article{shi:tam02,
author = {Shi, Y. and Tam, L.-F.},
cited = {29 January 2004},
format = {print},
journal = {J. Differ. Geom.},
keywords = {Positive energy theorems, Boundary conditions, Quasi-local energy-momentum},
onlineversion = {http://arxiv.org/abs/math.DG/0301047v1},
pages = {79--125},
title = {Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature},
volume = {62},
year = {2002}
}
@preprint{shi:tam04,
author = {Shi, Y. and Tam, L.-F.},
cited = {21 February 2005},
format = {arxiv},
id = {math.DG/0406559v3},
keywords = {Positive energy theorems, Boundary conditions, Quasi-local energy-momentum},
title = {Some lower estimates of ADM mass and Brown--York mass},
url = {http://arXiv.org/abs/math.DG/0406559v3},
year = {2004}
}
@article{tod86,
author = {Tod, K.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {1169--1189},
title = {More on Penrose's quasilocal mass},
volume = {3},
year = {1986}
}
@inproceedings{tod92a,
address = {Boston, U.S.A.},
author = {Tod, K.P.},
booktitle = {Recent Advances in General Relativity: Essays in honor of Ted Newman},
conference = {Papers from the Discussion Conference on Recent Advances in General Relativity, held at the University of Pittsburgh, May 3--5, 1990},
editor = {Janis, A.I. and Porter, J.R.},
format = {print},
keywords = {Null infinity, Penrose inequalities, Differential geometry},
pages = {182--195},
publisher = {Birkh\"auser},
series = {Einstein Studies},
title = {The St\"utzfunktion and the cut function},
volume = {4},
year = {1992}
}
@article{GHP73,
author = {Geroch, R. and Held, A. and Penrose, R.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Newman-Penrose formalism, Spinors, Null surfaces},
pages = {874--881},
title = {A spacetime calculus based on pairs of null directions},
volume = {14},
year = {1973}
}
@inproceedings{alvarezgaume:etal86,
address = {Singapore},
author = {Alvarez-Gaum\'e, L. and Nelson, P.},
booktitle = {Supersymmetry, Supergravity, Superstrings '86},
conference = {Proceedings of the 4th Trieste Spring School, held at the ICTP, Trieste, Italy 7--15 April 1986},
editor = {de Wit, B. and Fayet, P. and Grisaru, M.},
format = {print},
keywords = {String theory, Differential geometry, Topology},
pages = {419--510},
publisher = {World Scientific},
title = {Riemann surfaces and string theories},
year = {1986}
}
@inproceedings{szab93a,
address = {Budapest, Hungary},
author = {Szabados, L.B.},
booktitle = {Relativity Today},
conference = {Proceedings of the Fourth Hungarian Relativity Workshop, July 12--17, 1992, G\'ardony},
editor = {Kerr, R.P. and Perj\'es, Z.},
format = {print},
keywords = {Spinors, Theory of connections, Differential geometry},
pages = {63--68},
publisher = {Akad\'emiai Kiad\'o},
title = {Two dimensional Sen connections},
year = {1994}
}
@article{szab94a,
author = {Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Spinors, Theory of connections, Differential geometry},
onlineversion = {http://arXiv.org/abs/gr-qc/9402001v1},
pages = {1833--1846},
title = {Two dimensional Sen connections in general relativity},
volume = {11},
year = {1994}
}
@article{szab94b,
author = {Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Theory of connections},
onlineversion = {http://arXiv.org/abs/gr-qc/9402005v1},
pages = {1847--1866},
title = {Two dimensional Sen connections and quasi-local energy-momentum},
volume = {11},
year = {1994}
}
@article{szab96,
author = {Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Gravitational waves},
onlineversion = {http://arXiv.org/abs/gr-qc/9512013v1},
pages = {1661--1678},
title = {Quasi-local energy-momentum and two-surface characterization of the pp-wave spacetimes},
volume = {13},
year = {1996}
}
@article{coleman77,
author = {Coleman, S.},
format = {print},
journal = {Phys. Lett.},
keywords = {Yang-Mills theory, Gauge theories, Gauge conditions},
pages = {59--60},
title = {Non-Abelian plane waves},
volume = {70B},
year = {1977}
}
@article{guven79,
author = {G\"uven, R.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Einstein-Yang-Mills theory, Gauge conditions, Exact solutions},
pages = {471--472},
title = {Solutions for gravity coupled to non-Abelian plane waves},
volume = {19},
year = {1979}
}
@article{szab05a,
author = {Szabados, L.B.},
cited = {21 February 2005},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Spinors, Holographic principle},
onlineversion = {http://arXiv.org/abs/gr-qc/0411148v2},
pages = {855--878},
title = {Quasi-local holography and quasi-local mass of classical fields in Minkowski spacetime},
volume = {22},
year = {2005}
}
@inproceedings{szab97a,
address = {Warsaw, Poland},
author = {Szabados, L.B.},
booktitle = {Mathematics of Gravitation, Part I: Lorentzian Geometry and Einstein Equations},
editor = {Chru\'sciel, P.T.},
format = {print},
keywords = {Quasi-local energy-momentum, Spinors, Theory of connections},
pages = {205--219},
publisher = {Polish Academy of Sciences, Institute of Mathematics},
series = {Banach Center Publications},
title = {Quasi-local energy-momentum and the Sen geometry of two-surfaces},
volume = {41},
year = {1997}
}
@article{joerg:szab01,
author = {Frauendiener, J. and Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Fibre bundles, Spinors, Elliptic equations},
onlineversion = {http://arXiv.org/abs/gr-qc/0010089},
pages = {1003--1014},
title = {The kernel of the edth operators on higher-genus spacelike 2-surfaces},
volume = {18},
year = {2001}
}
@article{sen81,
author = {Sen, A.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Spinors, Initial value problem, Theory of connections},
pages = {1781--1786},
title = {On the existence of neutrino `zero-modes' in vacuum spacetimes},
volume = {22},
year = {1981}
}
@article{dougan:mason91,
author = {Dougan, A.J. and Mason, L.J.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quasi-local energy-momentum, Spinors, Mass functions},
pages = {2119--2122},
title = {Quasilocal mass constructions with positive energy},
volume = {67},
year = {1991}
}
@article{eastwood:tod82,
author = {Eastwood, M. and Tod, K.P.},
format = {print},
journal = {Math. Proc. Camb. Phil. Soc.},
keywords = {Fibre bundles, Spinors, Elliptic equations},
pages = {317--330},
title = {Edth -- a differential operator on the sphere},
volume = {92},
year = {1982}
}
@article{baston84,
author = {Baston, R.J.},
format = {print},
journal = {Twistor Newsletter},
keywords = {Twistors, Quasi-local mass, Elliptic equations},
number = {17},
pages = {31--32},
title = {The index of the 2-twistor equations},
volume = {1984},
year = {1984}
}
@article{hayward94a,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Foliations, Black holes, Black hole thermodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9303006v3},
pages = {6467--6474},
title = {General laws of black-hole dynamics},
volume = {49},
year = {1994}
}
@article{hayward94d,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Newman-Penrose formalism, Black holes, Black hole thermodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9406033v1},
pages = {3025--3035},
title = {Spin coefficient form of the new laws of black hole dynamics},
volume = {11},
year = {1994}
}
@article{misner:sharp64,
author = {Misner, C.W. and Sharp, D.H.},
format = {print},
journal = {Phys. Rev.},
keywords = {Gravitational collapse, Spherical symmetry, Thermodynamics},
pages = {B 571--B 576},
title = {Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse},
volume = {136},
year = {1964}
}
@article{hernandez:misner66,
author = {Hernandez, W.C. and Misner, C.W.},
format = {print},
journal = {Astrophys. J.},
keywords = {Gravitational collapse, Spherical symmetry, Hydrodynamics},
pages = {452--464},
title = {Observer time as a coordinate in relativistic spherical hydrodynamics},
volume = {143},
year = {1966}
}
@article{cahill:mcvitte70a,
author = {Cahill, M.E. and McVittie, G.C.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Spherical symmetry, Mass functions, Fluids},
pages = {1382--1391},
title = {Spherical symmetry and mass-energy in general relativity I. General theory},
volume = {11},
year = {1970}
}
@article{kodama80,
author = {Kodama, H.},
format = {print},
journal = {Prog. Theor. Phys.},
keywords = {Spherical symmetry, Mass functions, Event horizons},
pages = {1217--1228},
title = {Conserved energy flux for the spherically symmetric system and the backreaction problem in the black hole evaporation},
volume = {63},
year = {1980}
}
@preprint{nakao95,
author = {Nakao, K.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9507022v1},
keywords = {Quasi-local energy-momentum, Spherical symmetry, Mass functions},
note = {KUNS Preprint KUNS-1352},
title = {On a Quasi-Local Energy Outside the Cosmological Horizon},
url = {http://arXiv.org/abs/gr-qc/9507022v1},
year = {1995}
}
@article{zannias92,
author = {Zannias, T.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Spherical symmetry, Mass functions, Constraint equations},
pages = {2998--3001},
title = {Trapped surfaces on a spherically symmetric initial data set},
volume = {45},
year = {1992}
}
@article{malec:niall94,
author = {Malec, E. and \'O Murchadha, N.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Spherical symmetry, Penrose inequalities, Constraint equations},
pages = {6931--6934},
title = {Trapped surfaces and the Penrose inequality in spherically symmetric geometries},
volume = {49},
year = {1994}
}
@article{hayward96,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Spherical symmetry, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/9408002},
pages = {1938--1949},
title = {Gravitational energy in spherical symmetry},
volume = {53},
year = {1996}
}
@article{hayward98a,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Spherical symmetry, Black holes, Thermodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9710089v2},
pages = {3147--3162},
title = {Unified first law of black hole dynamics and relativistic thermodynamics},
volume = {15},
year = {1998}
}
@article{horowitz:schmidt82,
author = {Horowitz, G.T. and Schmidt, B.G.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Quasi-local energy-momentum, Mass functions, Conserved quantities},
pages = {215--224},
title = {Note on gravitational energy},
volume = {381},
year = {1982}
}
@article{kelly:etal86,
author = {Kelly, R.M. and Tod, K.P. and Woodhouse, N.M.J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {1151--1167},
title = {Quasi-local mass for small surfaces},
volume = {3},
year = {1986}
}
@article{szab99,
author = {Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local angular momentum, Spinors, Spin},
onlineversion = {http://arXiv.org/abs/gr-qc/9901068v1},
pages = {2889--2904},
title = {On certain quasi-local spin-angular momentum expressions for small spheres},
volume = {16},
year = {1999}
}
@article{ashtekar:geroch74,
author = {Ashtekar, A. and Geroch, R.},
format = {print},
journal = {Rep. Prog. Phys.},
keywords = {Quantum gravity, Hamiltonian formulation, Quantum field theory},
pages = {1211--1256},
title = {Quantum theory of gravitation},
volume = {37},
year = {1974}
}
@article{rovelli91a,
author = {Rovelli, C.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Diffeomorphism invariance, Hole argument, General relativity},
pages = {297--316},
title = {What is observable is classical and quantum physics?},
volume = {8},
year = {1991}
}
@inproceedings{isham94,
address = {Berlin, Germany; New York, U.S.A.},
author = {Isham, C.J.},
booktitle = {Canonical Gravity: From Classical to Quantum},
conference = {Proceedings of the 117th WE Heraeus Seminar, Bad Honnef, Germany, 13--17 September 1993},
editor = {Ehlers, J. and Friedrich, H.},
format = {print},
keywords = {Diffeomorphism invariance, General relativity, Quantum gravity},
pages = {1--21},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Prima facie questions in quantum gravity},
volume = {434},
year = {1994}
}
@article{bartnik89a,
author = {Bartnik, R.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quasi-local mass, Mass functions, Energy and momentum},
pages = {2346--2348},
title = {New definition of quasilocal mass},
volume = {62},
year = {1989}
}
@inproceedings{bartnik89b,
address = {Singapore; River Edge, U.S.A.},
author = {Bartnik, R.},
booktitle = {The Fifth Marcel Grossmann Meeting on recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories},
conference = {Proceedings of the meeting held at The University of Western Australia, 8--13 August 1988},
editor = {Blair, D.G. and Buckingham, M.J.},
format = {print},
keywords = {Quasi-local mass, Mass functions, Energy and momentum},
pages = {399--401},
publisher = {World Scientific},
title = {A new definition of quasi-local mass},
year = {1989}
}
@inproceedings{bartnik02,
address = {Singapore},
author = {Bartnik, R.},
booktitle = {Proceedings of the International Congress of Mathematicians},
cited = {29 January 2004},
conference = {Beijing, China 20--28 August 2002},
editor = {Tatsien, L.},
format = {print},
keywords = {Quasi-local mass, Mass functions, Energy and momentum},
onlineversion = {http://arXiv.org/abs/math.DG/0304259v1},
pages = {231--240},
publisher = {World Scientific},
title = {Mass and 3-metrics of non-negative scalar curvature},
volume = {II},
year = {2002}
}
@article{bartnik93,
author = {Bartnik, R.},
format = {print},
journal = {J. Differ. Geom.},
keywords = {Quasi-local mass, Boundary conditions, Existence theorems},
pages = {31--71},
title = {Quasi-spherical metrics and prescribed scalar curvature},
volume = {37},
year = {1993}
}
@article{miao03a,
author = {Miao, P.},
cited = {29 January 2004},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Quasi-local mass, Mass functions, Elliptic equations},
onlineversion = {http://arXiv.org/abs/math-ph/0309041v1},
pages = {27--46},
title = {On existence of static metric extensions in general relativity},
volume = {241},
year = {2003}
}
@article{hawking68,
author = {Hawking, S.W.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Cosmological perturbations, Gravitational radiation, Quasi-local mass},
pages = {598--604},
title = {Gravitational radiation in an expanding universe},
volume = {9},
year = {1968}
}
@inproceedings{eardley79,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Eardley, D.M.},
booktitle = {Sources of Gravitational Radiation},
conference = {Proceedings of the Battelle Seattle Workshop, July 24 - August 4, 1978},
editor = {Smarr, L.L.},
format = {print},
keywords = {Singularities, Asymptotic flatness, Quasi-local energy-momentum},
pages = {127--138},
publisher = {Cambridge University Press},
title = {Global problems in numerical relativity},
year = {1979}
}
@inproceedings{christodoulou:yau88,
address = {Providence, U.S.A.},
author = {Christodoulou, D. and Yau, S.-T.},
booktitle = {Mathematics and General Relativity},
conference = {Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 22--28, 1986},
editor = {Isenberg, J.A.},
format = {print},
keywords = {Quasi-local mass, Mass functions, Energy and momentum},
pages = {9--14},
publisher = {American Mathematical Society},
series = {Contemporary Mathematics},
title = {Some remarks on the quasi-local mass},
volume = {71},
year = {1988}
}
@article{hayward94b,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Mass functions, Foliations},
onlineversion = {http://arXiv.org/abs/gr-qc/9405071v1},
pages = {3037--3048},
title = {Quasi-localization of Bondi--Sachs energy loss},
volume = {11},
year = {1994}
}
@article{joerg01,
author = {Frauendiener, J.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Penrose inequalities, Inverse mean curvature flow, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0105093v1},
pages = {101101-1--101101-4},
title = {On the Penrose inequality},
volume = {87},
year = {2001}
}
@article{malec:mars:simon02a,
author = {Malec, E. and Mars, M. and Simon, W.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Penrose inequalities, Inverse mean curvature flow, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0201024v2},
pages = {121102-1--121102-4},
title = {On the Penrose inequality for general horizons},
volume = {88},
year = {2002}
}
@article{hayward94c,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Foliations, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/9303030v1},
pages = {831--839},
title = {Quasilocal gravitational energy},
volume = {49},
year = {1994}
}
@article{bergqvist94b,
author = {Bergqvist, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Energy and momentum, Mass functions},
pages = {3013--3023},
title = {Energy of small surfaces},
volume = {11},
year = {1994}
}
@article{bergqvist98,
author = {Bergqvist, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Mass functions},
pages = {1535--1538},
title = {Vacuum momenta of small spheres},
volume = {15},
year = {1998}
}
@article{geroch73,
author = {Geroch, R.},
format = {print},
journal = {Ann. N.Y. Acad. Sci.},
keywords = {Inverse mean curvature flow, Mass functions, Energy and momentum},
pages = {108--117},
title = {Energy extraction},
volume = {224},
year = {1973}
}
@article{jang:wald77,
author = {Jang, P.S. and Wald, R.M.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Cosmic censorship, Penrose inequalities, Inverse mean curvature flow},
pages = {41--44},
title = {The positive energy conjecture and the cosmic censor hypothesis},
volume = {17},
year = {1977}
}
@article{jang78,
author = {Jang, P.S.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Positive energy theorems, Maximal hypersurfaces, Elliptic equations},
note = {Erratum: J. Math. Phys. {\bf 20} 217 (1979)},
pages = {1152--1155},
title = {On the positivity of energy in general relativity},
volume = {19},
year = {1978}
}
@article{jang79,
author = {Jang, P.S.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Cosmic censorship, Black holes, Penrose inequalities},
pages = {834--837},
title = {Note on cosmic censorship},
volume = {20},
year = {1979}
}
@article{huisken:ilmanen97,
author = {Huisken, G. and Ilmanen, T.},
cited = {29 January 2004},
format = {print},
journal = {Int. Math. Res. Notices},
keywords = {Penrose inequalities, Inverse mean curvature flow, Black holes},
onlineversion = {http://www.math.ethz.ch/~ilmanen/papers/hpanno.ps},
pages = {1045--1058},
title = {The Riemannian Penrose inequality},
volume = {20},
year = {1997}
}
@article{huisken:ilmanen01,
author = {Huisken, G. and Ilmanen, T.},
format = {print},
journal = {J. Differ. Geom.},
keywords = {Penrose inequalities, Inverse mean curvature flow, Event horizons},
note = {Max-Planck-Institut f\"ur Mathematik in den Naturwissenschaften Preprint No 16, Leipzig 1998},
pages = {353--437},
title = {The inverse mean curvature flow and the Riemannian Penrose inequality},
volume = {59},
year = {2001}
}
@incollection{gibbons84a,
address = {Chichester, U.K.; New York, U.S.A.},
author = {Gibbons, G.W.},
booktitle = {Global Riemannian Geometry},
editor = {Willmore, T.J. and Hitchin, N.J.},
format = {print},
keywords = {Black holes, Penrose inequalities, Einstein-Maxwell equations},
pages = {194--202},
publisher = {Ellis Horwood; Halsted Press},
title = {The isoperimetric and Bogomolny inequalities for black holes},
year = {1984}
}
@article{penrose69b,
author = {Penrose, R.},
format = {print},
journal = {Riv. Nuovo Cimento},
keywords = {Gravitational collapse, Black holes, Cosmic censorship},
note = {reprinted in Gen. Relativ. Gravit. 34 (2002) 1141},
pages = {252--276},
title = {Gravitational collapse: the role of general relativity},
volume = {1},
year = {1969}
}
@article{penrose73,
author = {Penrose, R.},
format = {print},
journal = {Ann. N.Y. Acad. Sci.},
keywords = {Black holes, Cosmic censorship, Penrose inequalities},
pages = {125--134},
title = {Naked singularities},
volume = {224},
year = {1973}
}
@article{penrose82,
author = {Penrose, R.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Quasi-local energy-momentum, Mass functions, Twistors},
pages = {53--63},
title = {Quasi-local mass and angular momentum in general relativity},
volume = {381},
year = {1982}
}
@incollection{penrose84a,
address = {Chichester, U.K.; New York, U.S.A.},
author = {Penrose, R.},
booktitle = {Global Riemannian Geometry},
editor = {Willmore, T.J. and Hitchin, N.},
format = {print},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {203--213},
publisher = {Ellis Horwood; Halsted Press},
title = {Mass in general relativity},
year = {1984}
}
@article{tod83a,
author = {Tod, K.P.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {457--477},
title = {Some examples of Penrose's quasi-local mass construction},
volume = {388},
year = {1983}
}
@article{tod83b,
author = {Tod, K.P.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Quasi-local observables, Yang-Mills theory, Theory of connections},
pages = {369--377},
title = {Quasi-local charges in Yang--Mills theory},
volume = {389},
year = {1983}
}
@article{shaw83a,
author = {Shaw, W.T.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Asymptotic flatness, Spatial infinity, Spinors},
pages = {1163--1189},
title = {Spinor fields at spacelike infinity},
volume = {15},
year = {1983}
}
@article{tod84a,
author = {Tod, K.P.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Twistors, Curvature, Conformal geometry},
pages = {435--443},
title = {Three-surface twistors and conformal embedding},
volume = {16},
year = {1984}
}
@article{tod85a,
author = {Tod, K.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Penrose inequalities},
pages = {L65--L68},
title = {Penrose's quasi-local mass and the isoperimetric inequality for static black holes},
volume = {2},
year = {1985}
}
@article{shaw83b,
author = {Shaw, W.T.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotic flatness, Twistors, Quasi-local mass},
pages = {191--215},
title = {Twistor theory and the energy-momentum and angular momentum of the gravitational field at spatial infinity},
volume = {390},
year = {1983}
}
@article{tipler85,
author = {Tipler, F.J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {L99--L103},
title = {Penrose's quasi-local mass in the Kantowski--Sachs closed universe},
volume = {2},
year = {1985}
}
@article{penrose84c,
author = {Penrose, R.},
format = {print},
journal = {Twistor Newsletter},
keywords = {Quasi-local mass, Twistors, Mass functions},
number = {18},
pages = {7--11},
title = {New improved quasi-local mass and the Schwarzschild solutions},
volume = {1984},
year = {1984}
}
@article{tod84b,
author = {Tod, K.P.},
format = {print},
journal = {Twistor Newsletter},
keywords = {Quasi-local mass, Twistors, Mass functions},
number = {18},
pages = {3--6},
title = {More on quasi-local mass},
year = {1984}
}
@article{penrose85,
author = {Penrose, R.},
format = {print},
journal = {Twistor Newsletter},
keywords = {Quasi-local mass, Twistors, Mass functions},
number = {20},
pages = {7},
title = {A suggested further modification to the quasi-local formula},
volume = {1985},
year = {1985}
}
@article{kelly85,
author = {Kelly, R.M.},
format = {print},
journal = {Twistor Newsletter},
keywords = {Quasi-local mass, Twistors, Anti-de Sitter space},
number = {20},
pages = {11--23},
title = {Asymptotically anti de Sitter space-times},
volume = {1985},
year = {1985}
}
@inproceedings{jeffryes84a,
address = {Berlin, Germany; New York, U.S.A.},
author = {Jeffryes, B.P.},
booktitle = {Asymptotic Behavior of Mass and Spacetime Geometry},
conference = {Proceedings of the conference, held at Oregon State University, Corvallis, Oregon, USA, October 17--21, 1983},
editor = {Flaherty, F.J.},
format = {print},
keywords = {Quasi-local mass, Twistors, Conformal geometry},
pages = {177--184},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Two-surface twistors and conformal embedding},
volume = {202},
year = {1984}
}
@article{jeffryes87,
author = {Jeffryes, B.P.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Quasi-local mass, Twistors, Symmetry},
pages = {59--83},
title = {2-Surface twistors, embeddings and symmetries},
volume = {411},
year = {1987}
}
@inproceedings{shaw84b,
address = {Berlin, Germany; New York, U.S.A.},
author = {Shaw, W.T.},
booktitle = {Asymptotic Behavior of Mass and Spacetime Geometry},
conference = {Proceedings of the conference, held at Oregon State University, Corvallis, Oregon, USA, October 17--21, 1983},
editor = {Flaherty, F.J.},
format = {print},
keywords = {Asymptotic flatness, Twistors, Conservation laws},
pages = {165--176},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {Twistors, asymptotic symmetries and conservation laws at null and spatial infinity},
volume = {202},
year = {1984}
}
@article{jeffryes86a,
author = {Jeffryes, B.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Newtonian limit},
pages = {841--852},
title = {The Newtonian limit of Penrose's quasi-local mass},
volume = {3},
year = {1986}
}
@article{jeffryes86b,
author = {Jeffryes, B.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Elliptic equations},
pages = {L9--L12},
title = {`Extra' solutions to the 2-surface twistor equations},
volume = {3},
year = {1986}
}
@article{shaw86b,
author = {Shaw, W.T.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Asymptotics},
pages = {L77--L81},
title = {Total angular momentum for asymptotically flat spacetimes with non-vanishing stress tensor},
volume = {3},
year = {1986}
}
@article{woodhouse87,
author = {Woodhouse, N.M.J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {L121--L123},
title = {Ambiguities in the definition of quasi-local mass},
volume = {4},
year = {1987}
}
@article{tod87,
author = {Tod, K.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Singularities},
pages = {1457--1468},
title = {Quasi-local mass and cosmological singularities},
volume = {4},
year = {1987}
}
@inproceedings{penrose88,
address = {Providence, U.S.A.},
author = {Penrose, R.},
booktitle = {Mathematics and General Relativity},
conference = {Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 22--28, 1986},
editor = {Isenberg, J.A.},
format = {print},
keywords = {Quasi-local angular momentum, Quasi-local mass, Twistors},
pages = {1--8},
publisher = {American Mathematical Society},
series = {Contemporary Mathematics},
title = {Aspects of quasi-local angular momentum},
volume = {71},
year = {1988}
}
@article{mason89,
author = {Mason, L.J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Hamiltonian formulation},
pages = {L7--L13},
title = {A Hamiltonian interpretation of Penrose's quasi-local mass},
volume = {6},
year = {1989}
}
@article{tod90a,
author = {Tod, K.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Cylindrical symmetry},
pages = {2237--2266},
title = {Penrose's quasi-local mass and cylindrically symmetric spacetimes},
volume = {7},
year = {1990}
}
@article{beig91,
author = {Beig, R.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {L205--L209},
title = {Time symmetric initial data and Penrose's quasi-local mass},
volume = {8},
year = {1991}
}
@incollection{tod90b,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Tod, K.P.},
booktitle = {Twistors in Mathematics and Physics},
editor = {Bailey, T.N. and Baston, R.J.},
format = {print},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {164--188},
publisher = {Cambridge University Press},
series = {London Mathematical Society Lecture Note Series},
title = {Penrose's quasi-local mass},
volume = {156},
year = {1990}
}
@article{helfer92,
author = {Helfer, A.D.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Twistors, Mass functions},
pages = {1001--1008},
title = {Difficulties with quasi-local momentum and angular momentum},
volume = {9},
year = {1992}
}
@article{bernstein:tod94,
author = {Bernstein, D.H. and Tod, K.P.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local mass, Twistors, Numerical relativity},
pages = {2808--2820},
title = {Penrose's quasi-local mass in a numerically computed space-time},
volume = {49},
year = {1994}
}
@article{goldberg90,
author = {Goldberg, J.N.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Asymptotic flatness, Conserved quantities, Superpotentials},
pages = {410--417},
title = {Conserved quantities at spatial and null infinity: The Penrose potential},
volume = {41},
year = {1990}
}
@article{ludvigsen:vickers83,
author = {Ludvigsen, M. and Vickers, J.A.G.},
format = {print},
journal = {J. Phys. A},
keywords = {Quasi-local energy-momentum, Quasi-local angular momentum, Mass functions},
pages = {1155--1168},
title = {Momentum, angular momentum and their quasi-local null surface extensions},
volume = {16},
year = {1983}
}
@article{bergqvist:ludvigsen87,
author = {Bergqvist, G. and Ludvigsen, M.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Mass functions},
pages = {L29--L32},
title = {Quasi-local mass near a point},
volume = {4},
year = {1987}
}
@article{bergqvist92b,
author = {Bergqvist, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Mass functions},
pages = {1917--1922},
title = {Positivity and definitions of mass},
volume = {9},
year = {1992}
}
@article{bergqvist92a,
author = {Bergqvist, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Mass functions, Event horizons},
pages = {1753--1766},
title = {Quasilocal mass for event horizons},
volume = {9},
year = {1992}
}
@article{dougan92,
author = {Dougan, A.J.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Mass functions},
pages = {2461--2475},
title = {Quasi-local mass for spheres},
volume = {9},
year = {1992}
}
@article{szab93b,
author = {Szabados, L.B.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Mass functions},
pages = {1899--1905},
title = {On the positivity of the quasi-local mass},
volume = {10},
year = {1993}
}
@article{utiyama56,
author = {Utiyama, R.},
format = {print},
journal = {Phys. Rev.},
keywords = {Yang-Mills theory, Gauge theories, Tetrad formalism},
pages = {1597--1607},
title = {Invariant theoretical interpretation of interactions},
volume = {101},
year = {1956}
}
@article{kibble61,
author = {Kibble, T.W.B.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Yang-Mills theory, Gauge theories, Tetrad formalism},
pages = {212--221},
title = {Lorentz invariance and the gravitational field},
volume = {2},
year = {1961}
}
@article{bergqvist:ludvigsen89,
author = {Bergqvist, G. and Ludvigsen, M.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Kerr solution},
pages = {L133--L136},
title = {Spinor propagation and quasilocal momentum for the Kerr solution},
volume = {6},
year = {1989}
}
@article{bergqvist:ludvigsen91,
author = {Bergqvist, G. and Ludvigsen, M.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Quasi-local angular momentum, Kerr metric},
pages = {697--701},
title = {Quasilocal momentum and angular momentum in Kerr spacetime},
volume = {8},
year = {1991}
}
@article{harnett93,
author = {Harnett, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Twistors, Kerr solution, Theory of connections},
pages = {407--415},
title = {The flat generalized affine connection and twistors for the Kerr solution},
volume = {10},
year = {1993}
}
@article{andersson:edgar98,
author = {Andersson, F. and Edgar, S.B.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Theory of connections, Spinors, Kerr metric},
pages = {2859--2861},
title = {Curvature-free asymmetric metric connections in Kerr--Schild spacetimes},
volume = {39},
year = {1998}
}
@inproceedings{brown:york92,
address = {Providence, U.S.A.},
author = {Brown, J.D. and York, J.M.},
booktitle = {Mathematical Aspects of Classical Field Theory},
conference = {Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 20--26, 1991 at the University of Washington, Seattle},
editor = {Gotay, M.J. and Marsden, J.E. and Moncrief, V.E.},
format = {print},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
pages = {129--142},
publisher = {American Mathematical Society},
series = {Contemporary Mathematics},
title = {Quasilocal energy in general relativity},
volume = {132},
year = {1992}
}
@article{gibbons:hawking77,
author = {Gibbons, G.W. and Hawking, S.W.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Entropy, Boundary conditions},
pages = {2752--2756},
title = {Action integrals and partition functions in general relativity},
volume = {15},
year = {1977}
}
@article{brown:york93,
author = {Brown, J.D. and York Jr, J.W.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/9209012},
pages = {1407--1419},
title = {Quasilocal energy and conserved charges derived from the gravitational action},
volume = {47},
year = {1993}
}
@preprint{nadir02,
author = {Nadirashvili, N. and Yuan, Y.},
cited = {29 January 2004},
format = {arxiv},
id = {math.DG/0208127v1},
keywords = {Curvature, Differential geometry, Nonlinear analysis},
title = {Counterexamples for local isometric embedding},
url = {http://arXiv.org/abs/math.DG/0208127v1},
year = {2002}
}
@article{heinz62,
author = {Heinz, E.},
format = {print},
journal = {J. Math. Mech.},
keywords = {Curvature, Differential geometry, Nonlinear analysis},
pages = {421--454},
title = {On Weyl's embedding problems},
volume = {11},
year = {1962}
}
@article{smarr73,
author = {Smarr, L.L.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Kerr-Newman metric, Event horizons, Differential geometry},
pages = {289--295},
title = {Surface geometry of charged rotating black holes},
volume = {7},
year = {1973}
}
@article{brinkmann23,
author = {Brinkmann, H.W.},
format = {print},
journal = {Proc. Natl. Acad. Sci. USA},
keywords = {Conformal geometry, Null surfaces, Differential geometry},
pages = {1--3},
title = {On Riemann spaces conformal to Euclidean space},
volume = {9},
year = {1923}
}
@article{lau93,
author = {Lau, S.R.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
note = {file corrupt},
onlineversion = {http://arXiv.org/abs/gr-qc/9307026v3},
pages = {2379--2399},
title = {Canonical variables and quasi-local energy in general relativity},
volume = {10},
year = {1993}
}
@article{martinez94,
author = {Martinez, E.A.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Kerr solution},
onlineversion = {http://arXiv.org/abs/gr-qc/9405033v2},
pages = {4920--4928},
title = {Quasilocal energy for a Kerr black hole},
volume = {50},
year = {1994}
}
@article{brown:etal94,
author = {Brown, J.D. and Creighton, J.D.E. and Mann, R.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Black hole thermodynamics, Anti-de Sitter space},
onlineversion = {http://arXiv.org/abs/gr-qc/9405007v1},
pages = {6394--6403},
title = {Temperature, energy, and heat capacity of asymptotically anti-de-Sitter black holes},
volume = {50},
year = {1994}
}
@article{creighton:mann95,
author = {Creighton, J.D.E. and Mann, R.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Canonical methods, Thermodynamics, Gauge fields},
onlineversion = {http://arXiv.org/abs/gr-qc/9505007v1},
pages = {4569--4587},
title = {Quasilocal thermodynamics of dilaton gravity coupled to gauge fields},
volume = {52},
year = {1995}
}
@article{lau95,
author = {Lau, S.R.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Spinors, Canonical methods},
onlineversion = {http://arXiv.org/abs/gr-qc/9409022v2},
pages = {1063--1079},
title = {Spinors and the reference point of quasi-local energy},
volume = {12},
year = {1995}
}
@article{lau96,
author = {Lau, S.R.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Canonical methods, Ashtekar variables},
onlineversion = {http://arXiv.org/abs/gr-qc/9504026v3},
pages = {1509--1540},
title = {New variables, the gravitational action and boosted quasilocal stress-energy-momentum},
volume = {13},
year = {1996}
}
@article{ghayward95,
author = {Hayward, G.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/9403039v1},
pages = {2001--2006},
title = {Quasilocal energy conditions},
volume = {52},
year = {1995}
}
@article{hawking:horowitz96,
author = {Hawking, S.W. and Horowitz, G.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Canonical methods, Hamiltonian formulation, Entropy},
onlineversion = {http://arXiv.org/abs/gr-qc/9501014v1},
pages = {1487--1498},
title = {The gravitational Hamiltonian, action, entropy and surface terms},
volume = {13},
year = {1996}
}
@article{hawking:hunter96,
author = {Hawking, S.W. and Hunter, C.J.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Canonical methods, Hamiltonian formulation, Boundary conditions},
onlineversion = {http://arXiv.org/abs/gr-qc/9603050v2},
pages = {2735--2752},
title = {The gravitational Hamiltonian in the presence of non-orthogonal boundaries},
volume = {13},
year = {1996}
}
@article{BLY97,
author = {Brown, J.D. and Lau, S.R. and York Jr, J.W.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Asymptotics},
onlineversion = {http://arXiv.org/abs/gr-qc/9609057v1},
pages = {1977--1984},
title = {Energy of isolated systems at retarded times as the null limit of quasilocal energy},
volume = {55},
year = {1997}
}
@article{BLY99a,
author = {Brown, J.D. and Lau, S.R. and York Jr, J.W.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/9810003},
pages = {064028-1--13},
title = {Canonical quasilocal energy and small spheres},
volume = {59},
year = {1999}
}
@article{lau99,
author = {Lau, S.R.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Asymptotic flatness, Anti-de Sitter space, Energy and momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/9903038},
pages = {104034-1--4},
title = {Lightcone reference for total gravitational energy},
volume = {60},
year = {1999}
}
@article{booth:mann99a,
author = {Booth, I.S. and Mann, R.B.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Hamiltonian formulation},
onlineversion = {http://arXiv.org/abs/gr-qc/9810009v2},
pages = {0640221-1--9},
title = {Moving observers, nonorthogonal boundaries, and quasilocal energy},
volume = {59},
year = {1999}
}
@article{booth:mann99b,
author = {Booth, I.S. and Mann, R.B.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Black holes},
onlineversion = {http://arXiv.org/abs/gr-qc/9907072v1},
pages = {124009-1--22},
title = {Static and infalling quasilocal energy of charged and naked black holes},
volume = {60},
year = {1999}
}
@article{BLY02,
author = {Brown, J.D. and Lau, S.R. and York Jr, J.W.},
cited = {29 January 2004},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0010024v3},
pages = {175--218},
title = {Action and energy of the gravitational field},
volume = {297},
year = {2002}
}
@article{balasubramanian:kraus99,
author = {Balasubramanian, V. and Kraus, P.},
cited = {29 January 2004},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Quasi-local energy-momentum, Canonical methods, Anti-de Sitter space},
onlineversion = {http://arXiv.org/abs/hep-th/9902121v5},
pages = {413--428},
title = {A stress tensor for anti-de-Sitter gravity},
volume = {208},
year = {1999}
}
@article{epp00,
author = {Epp, R.J.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0003035v1},
pages = {124018-1--30},
title = {Angular momentum and an invariant quasilocal energy in general relativity},
volume = {62},
year = {2000}
}
@unpublished{lau00,
author = {Lau, S.R.},
format = {unknown},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
note = {Physics and Mathematical Divisions, NCTS, Hsinchu, Taiwan, 24--26 July},
title = {Lectures given at the `International Workshop on Geometric Physics'},
year = {2000}
}
@misc{lau03,
author = {Lau, S.R.},
format = {personal communication},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
month = {July},
year = {2003}
}
@article{BLP03,
author = {Baskaran, D. and Lau, S.R. and Petrov, A.N.},
cited = {29 January 2004},
format = {print},
journal = {Ann. Phys. (N.Y.)},
keywords = {Quasi-local angular momentum, Canonical methods, Spatial infinity},
onlineversion = {http://arXiv.org/abs/gr-qc/0301069v2},
pages = {90--131},
title = {Center of mass integral in canonical general relativity},
volume = {307},
year = {2003}
}
@article{saharian03,
author = {Saharian, A.A.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local observables, Canonical methods, Scalar fields},
onlineversion = {http://arXiv.org/abs/hep-th/0308108v2},
pages = {085005-1--16},
title = {Energy-momentum tensor for a scalar field on manifolds with boundaries},
volume = {69},
year = {2004}
}
@article{liu:yau03,
author = {Liu, C.-C.M. and Yau, S.-T.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0303019v2},
pages = {231102--1-4},
title = {Positivity of quasilocal mass},
volume = {90},
year = {2003}
}
@preprint{liu:yau04,
author = {Liu, C.-C.M. and Yau, S.-T.},
cited = {21 February 2005},
format = {arxiv},
id = {math.DG/0412292v2},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
title = {Positivity of quasilocal mass II},
url = {http://arXiv.org/abs/math.DG/0412292v2},
year = {2004}
}
@article{niall:etal04,
author = {\'O Murchadha, N. and Szabados, L.B. and Tod, K.P.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0311006v1},
pages = {259001--1},
title = {Comment on ``Positivity of Quasilocal Mass"},
volume = {92},
year = {2004}
}
@article{booth01,
author = {Booth, I.S.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Canonical methods, Black holes},
onlineversion = {http://arXiv.org/abs/gr-qc/0105009v2},
pages = {4239--4264},
title = {Metric-based Hamiltonians, null boundaries and isolated horizons},
volume = {18},
year = {2001}
}
@article{fatibene:etal01,
author = {Fatibene, L. and Ferraris, M. and Francaviglia, M. and Raiteri, M.},
cited = {29 January 2004},
format = {print},
journal = {J. Math. Phys.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0003019v1},
pages = {1173--1195},
title = {Noether charges, Brown--York quasilocal energy, and related topics},
volume = {42},
year = {2001}
}
@article{francaviglia:raiteri02,
author = {Francaviglia, M. and Raiteri, M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Canonical methods, Energy and momentum, Entropy},
onlineversion = {http://arXiv.org/abs/gr-qc/0107074v1},
pages = {237--258},
title = {Hamiltonian, energy and entropy in general relativity with non-orthogonal boundaries},
volume = {19},
year = {2002}
}
@article{allemandi:etal02,
author = {Allemandi, G. and Francaviglia, M. and Raiteri, M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Canonical methods, Energy and momentum, Entropy},
onlineversion = {http://arXiv.org/abs/gr-qc/0110104v1},
pages = {2633--2655},
title = {Energy in Einstein--Maxwell theory and the first law of isolated horizons via the Noether theorem},
volume = {19},
year = {2002}
}
@article{booth:fairhurst03,
author = {Booth, I. and Fairhurst, S.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0301123v2},
pages = {4507--4531},
title = {Canonical phase space formulation of quasilocal general relativity},
volume = {20},
year = {2003}
}
@inproceedings{nester84,
address = {Berlin, Germany; New York, U.S.A.},
author = {Nester, J.M.},
booktitle = {Asymptotic Behavior of Mass and Spacetime Geometry},
conference = {Proceedings of the conference, held at Oregon State University, Corvallis, Oregon, USA, October 17--21, 1983},
editor = {Flaherty, F.J.},
format = {print},
keywords = {Hamiltonian formulation, Asymptotic flatness, Spinors},
pages = {155--163},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {The gravitational Hamiltonian},
volume = {202},
year = {1984}
}
@article{nester91b,
author = {Nester, J.M.},
format = {print},
journal = {Mod. Phys. Lett. A},
keywords = {Hamiltonian formulation, Asymptotic flatness, Theories of gravity},
pages = {2655--2661},
title = {A covariant Hamiltonian for gravity theories},
volume = {6},
year = {1991}
}
@article{kijowski97,
author = {Kijowski, J.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
pages = {307--343},
title = {A simple derivation of canonical structure and quasi-local Hamiltonians in general relativity},
volume = {29},
year = {1997}
}
@inproceedings{kijowski02,
address = {Bologna, Italy},
author = {Kijowski, J.},
booktitle = {Advances in General Relativity and Cosmology},
conference = {Proceedings of the International Conference in Memory of A. Lichnerowicz, Isola d'Elba, Italy, 12--15 Jun 2002},
editor = {Ferrarese, G.},
format = {print},
keywords = {Quasi-local energy-momentum, Canonical methods, Initial boundary value problem},
pages = {129--145},
publisher = {Pitagora},
title = {A consistent canonical approach to gravitational energy},
year = {2002}
}
@article{pons01,
author = {Pons, J.M.},
cited = {21 February 2005},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0105032v3},
pages = {147--174},
title = {Boundary conditions from boundary terms, Noether charges and the trace K Lagrangian in general relativity},
volume = {35},
year = {2003}
}
@article{anco:tung02a,
author = {Anco, S.C. and Tung, R.-S.},
cited = {21 February 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0109013v4},
pages = {5531--5566},
title = {Covariant Hamiltonian boundary conditions in general relativity for spatially bounded spacetime regions},
volume = {43},
year = {2002}
}
@article{anco:tung02b,
author = {Anco, S.C. and Tung, R.-S.},
cited = {21 February 2005},
format = {print},
journal = {J. Math. Phys.},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0109014v6},
pages = {3984--4019},
title = {Properties of the symplectic structure of general relativity for spatially bounded spacetime regions},
volume = {43},
year = {2002}
}
@preprint{anco04,
author = {Anco, S.C.},
cited = {21 February 2005},
format = {arxiv},
id = {math.DG/0402057v1},
keywords = {Quasi-local energy-momentum, Canonical methods, Mass functions},
title = {Mean curvature flow in Hamiltonian general relativity, geometrical definitions of quasilocal mass-energy for spacelike two-surfaces, and their positivity},
url = {http://arXiv.org/abs/math.DG/0402057v1},
year = {2004}
}
@article{husain:major97,
author = {Husain, V. and Major, S.},
cited = {29 January 2004},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Quasi-local observables, Gauge theories, Ashtekar variables},
onlineversion = {http://arXiv.org/abs/gr-qc/9703043v2},
pages = {381--401},
title = {Gravity and BF theory defined in bounded regions},
volume = {500},
year = {1997}
}
@article{chen:nester:tung95,
author = {Chen, C.-M. and Nester, J.M. and Tung, R.-S.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Lett. A},
keywords = {Quasi-local energy-momentum, Canonical methods, Hamiltonian formulation},
onlineversion = {http://arXiv.org/abs/gr-qc/9411048v2},
pages = {5--11},
title = {Quasilocal energy-momentum for geometric gravity theories},
volume = {203},
year = {1995}
}
@article{chen:nester99,
author = {Chen, C.-M. and Nester, J.M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Canonical methods, Hamiltonian formulation},
onlineversion = {http://arXiv.org/abs/gr-qc/9809020v2},
pages = {1279--1304},
title = {Quasilocal quantities for general relativity and other gravity theories},
volume = {16},
year = {1999}
}
@inproceedings{chang:nester:chen00,
address = {Singapore; River Edge, U.S.A.},
author = {Chang, C.-C. and Nester, J.M. and Chen, C.-M.},
booktitle = {Gravitation and Astrophysics},
cited = {29 January 2004},
conference = {Proceedings of the Fourth International Workshop, held at Beijing Normal University, China, October 10--15, 1999},
editor = {Liu, L. and Luo, J. and Li, X.-Z. and Hsu, J.-P.},
format = {print},
keywords = {Quasi-local energy-momentum, Canonical methods, Pseudotensors},
onlineversion = {http://arXiv.org/abs/gr-qc/9912058v1},
pages = {163--173},
publisher = {World Scientific},
title = {Energy-momentum quasi-localization for gravitating systems},
year = {2000}
}
@article{chen:nester00,
author = {Chen, C.-M. and Nester, J.M.},
cited = {29 January 2004},
format = {print},
journal = {Grav. Cosmol.},
keywords = {Quasi-local energy-momentum, Canonical methods, Hamiltonian formulation},
onlineversion = {http://arXiv.org/abs/gr-qc/0001088v1},
pages = {257--270},
title = {A symplectic Hamiltonian derivation of quasi-local energy-momentum for GR},
volume = {6},
year = {2000}
}
@preprint{chen:nester:tung02,
author = {Chen, C.-M. and Nester, J.M. and Tung, R.-S.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/0209100v2},
keywords = {Quasi-local energy-momentum, Canonical methods, Spinors},
title = {Spinor Formulations for Gravitational Energy-Momentum},
url = {http://arXiv.org/abs/gr-qc/0209100v2},
year = {2002}
}
@preprint{nester:etal04a,
author = {Nester, J.M. and Ho, F.H. and Chen, C.-M.},
cited = {21 February 2005},
format = {arxiv},
id = {gr-qc/0403101v1},
keywords = {Quasi-local energy-momentum, Canonical methods, Center of mass},
title = {Quasi-local center-of-mass for teleparallel gravity},
url = {http://arXiv.org/abs/gr-qc/0403101v1},
year = {2004}
}
@article{nester:etal04b,
author = {Nester, J.M. and Meng, F.F. and Chen, C.-M.},
cited = {21 February 2005},
format = {print},
journal = {J. Korean Phys. Soc.},
keywords = {Quasi-local energy-momentum, Canonical methods, Center of mass},
onlineversion = {http://arXiv.org/abs/gr-qc/0403103v2},
pages = {S22--S25},
title = {Quasi-local center-of-mass},
volume = {45},
year = {2004}
}
@article{sachs62c,
author = {Sachs, R.K.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Null surfaces, Characteristic initial value problem, Einstein equations},
pages = {908--914},
title = {On the characteristic initial value problem in gravitational theory},
volume = {3},
year = {1962}
}
@article{stewart:friedrich82,
author = {Stewart, J.M. and Friedrich, H.},
format = {print},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Foliations, Null surfaces, Characteristic initial value problem},
pages = {427--454},
title = {Numerical relativity. I. The characteristic initial value problem},
volume = {384},
year = {1982}
}
@article{inverno:smallwood80,
author = {d' Inverno, R.A. and Smallwood, J.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Foliations, Initial value problem, Conformal geometry},
pages = {1233--1247},
title = {Covariant 2+2 formalism of the initial-value problem in general relativity},
volume = {22},
year = {1980}
}
@article{torre86,
author = {Torre, C.G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Foliations, Null surfaces, Geometrodynamics},
pages = {773--791},
title = {Null surface geometrodynamics},
volume = {3},
year = {1986}
}
@article{hayward93b,
author = {Hayward, S.A.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Foliations, Null surfaces, Einstein equations},
pages = {779--790},
title = {Dual-null dynamics of the Einstein field},
volume = {10},
year = {1993}
}
@article{goldberg:soteriou95,
author = {Goldberg, J.N. and Soteriou, C.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Canonical methods, Null surfaces, Gauge conditions},
pages = {2779--2797},
title = {Canonical general relativity on a null surface with coordinate and gauge fixing},
volume = {12},
year = {1995}
}
@article{brady:etal96,
author = {Brady, P.R. and Droz, S. and Israel, W. and Morsink, S.M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Foliations, Null surfaces, Einstein equations},
onlineversion = {http://arXiv.org/abs/gr-qc/9510040v1},
pages = {2211--2230},
title = {Covariant double--null dynamics: (2+2)-splitting of the Einstein equations},
volume = {13},
year = {1996}
}
@article{ikumi:shiromizi99,
author = {Ikumi, K. and Shiromizu, T.},
cited = {29 January 2004},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Quasi-local energy-momentum, Foliations, Hamiltonian formulation},
onlineversion = {http://arXiv.org/abs/gr-qc/9704020v3},
pages = {73--90},
title = {Freely falling 2-surfaces and the quasi-local energy},
volume = {31},
year = {1999}
}
@preprint{yoon98,
author = {Yoon, J.H.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9806078v1},
keywords = {Quasi-local energy-momentum, Foliations, Null surfaces},
title = {Quasi-local energy conservation law derived from the Einstein's equations},
url = {http://arXiv.org/abs/gr-qc/9806078v1},
year = {1998}
}
@article{yoon99,
author = {Yoon, J.H.},
format = {print},
journal = {J. Korean Phys. Soc.},
keywords = {Quasi-local energy-momentum, Foliations, Null surfaces},
pages = {108--111},
title = {Quasi-local energy for general spacetimes},
volume = {34},
year = {1999}
}
@article{yoon01,
author = {Yoon, J.H.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Lett. A},
keywords = {Quasi-local energy-momentum, Foliations, Null surfaces},
onlineversion = {http://arXiv.org/abs/gr-qc/0004074v2},
pages = {166--172},
title = {Quasi-local conservation equations in general relativity},
volume = {292},
year = {2001}
}
@article{hayward01,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Gravitational radiation, Black holes, Energy and momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0102013v1},
pages = {5561--5581},
title = {Gravitational-wave dynamics and black-hole dynamics: second quasi-spherical approximation},
volume = {18},
year = {2001}
}
@inproceedings{yoon02,
address = {Bologna, Italy},
author = {Yoon, J.H.},
booktitle = {Advances in General Relativity and Cosmology},
cited = {29 January 2004},
conference = {Proceedings of the International Conference in Memory of A. Lichnerowicz, Isola d'Elba, Italy, 12--15 Jun 2002},
editor = {Ferrarese, G.},
format = {print},
keywords = {Quasi-local energy-momentum, Foliations, Null surfaces},
onlineversion = {http://www.arxiv.org/abs/gr-qc/0212042v1},
publisher = {Pitagora},
title = {(1+1)-dimensional formalism and quasi-local conservation equations},
year = {2002}
}
@article{yoon04,
author = {Yoon, J.H.},
cited = {21 February 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Foliations, Conservation laws},
onlineversion = {http://arXiv.org/abs/gr-qc/0406047v2},
pages = {084037--1-20},
title = {New Hamiltonian formalism and quasilocal conservation equations of general relativity},
volume = {70},
year = {2004}
}
@article{kulkarni:etal88,
author = {Kulkarni, R. and Chellathurai, V. and Dadhich, N.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Kerr metric, Mass functions},
pages = {1443--1445},
title = {The effective mass of the Kerr spacetime},
volume = {5},
year = {1988}
}
@article{chellathurai:dadhich90,
author = {Chellathurai, V. and Dadhich, N.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Mass functions, Kerr-Newman metric},
pages = {361--370},
title = {Effective mass of a rotating black hole in a magnetic field},
volume = {7},
year = {1990}
}
@article{katz:etal88,
author = {Katz, J. and Lynden-Bell, D. and Israel, W.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local mass, Mass functions, Energy and momentum},
pages = {971--987},
title = {Quasilocal energy in static gravitational fields},
volume = {5},
year = {1988}
}
@inproceedings{achar89,
address = {Singapore; River Edge, U.S.A.},
author = {Nahmad-Achar, E.},
booktitle = {The Fifth Marcel Grossmann Meeting on recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories},
conference = {Proceedings of the meeting held at The University of Western Australia, 8--13 August 1988},
editor = {Blair, D.G. and Buckingham, M.J.},
format = {print},
keywords = {Quasi-local energy-momentum, Mass functions, Energy and momentum},
pages = {1223--1225},
publisher = {World Scientific},
title = {Is gravitational field energy density well defined for static, spherically symmetric configurations?},
year = {1989}
}
@article{gibbons:hull82,
author = {Gibbons, G.W. and Hull, C.M.},
format = {print},
journal = {Phys. Lett. B},
keywords = {Energy and momentum, Spinors, Supergravity},
pages = {190--194},
title = {A Bogomolny bound for general relativity and solutions in N=2 supergravity},
volume = {109},
year = {1982}
}
@article{tod83c,
author = {Tod, K.P.},
format = {print},
journal = {Phys. Lett. B},
keywords = {Energy and momentum, Spinors, Null infinity},
pages = {241--244},
title = {All metrics admitting super-covariantly constant spinors},
volume = {121},
year = {1983}
}
@article{ludvigsen:vickers83b,
author = {Ludvigsen, M. and Vickers, J.A.G.},
format = {print},
journal = {J. Phys. A},
keywords = {Penrose inequalities, Asymptotic flatness, Null infinity},
pages = {3349--3353},
title = {An inequality relating total mass and the area of a trapped surface in general relativity},
volume = {16},
year = {1983}
}
@article{ludvigsen:vickers83a,
author = {Ludvigsen, M. and Vickers, J.A.G.},
format = {print},
journal = {J. Phys. A},
keywords = {Penrose inequalities, Asymptotic flatness, Null infinity},
pages = {1169--1174},
title = {An inequality relating mass and electric charge in general relativity},
volume = {16},
year = {1983}
}
@article{bergqvist97,
author = {Bergqvist, G.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Penrose inequalities, Black holes, Spinors},
pages = {2577--2583},
title = {On the Penrose inequality and the role of auxiliary spinor fields},
volume = {14},
year = {1997}
}
@article{joerg97,
author = {Frauendiener, J.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Penrose inequalities, Energy and momentum, Spinors},
onlineversion = {http://arXiv.org/abs/gr-qc/9511036v1},
pages = {2413--3423},
title = {On an integral formula on hypersurfaces in general relativity},
volume = {14},
year = {1997}
}
@article{gibbons97,
author = {Gibbons, G.W.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Gravitational collapse, Cosmic censorship, Penrose inequalities},
onlineversion = {http://arXiv.org/abs/hep-th/9701049v1},
pages = {2905--2915},
title = {Collapsing shells and the isoperimetric inequality for black holes},
volume = {14},
year = {1997}
}
@article{bray01,
author = {Bray, H.L.},
cited = {29 January 2004},
format = {print},
journal = {J. Differ. Geom.},
keywords = {Penrose inequalities, Positive energy theorems, Conformal geometry},
onlineversion = {http://arXiv.org/abs/math.DG/9911173v1},
pages = {177--267},
title = {Proof of the Riemannian Penrose inequality using the positive energy theorem},
volume = {59},
year = {2001}
}
@inproceedings{bray02a,
address = {Singapore},
author = {Bray, H.L.},
booktitle = {Proceedings of the International Congress of Mathematicians},
cited = {29 January 2004},
conference = {Beijing, China 20--28 August 2002},
editor = {Tatsien, L.},
format = {print},
keywords = {Black holes, Penrose inequalities, Conformal geometry},
onlineversion = {http://arXiv.org/abs/math.DG/0304261v1},
publisher = {World Scientific},
title = {Black holes and the Penrose inequality in general relativity},
volume = {II},
year = {2002}
}
@article{bray02b,
author = {Bray, H.L.},
format = {print},
journal = {Notices AMS},
keywords = {Black holes, Penrose inequalities, Conformal geometry},
pages = {1372--1381},
title = {Black holes, geometric flows, and the Penrose inequality in general relativity},
volume = {49},
year = {2002}
}
@preprint{bray:chrusciel03,
author = {Bray, H.L. and Chru\'sciel, P.T.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/0312047v1},
keywords = {Penrose inequalities, Quasi-local mass, Mass functions},
title = {The Penrose Inequality},
url = {http://arXiv.org/abs/gr-qc/0312047v1},
year = {2003}
}
@article{hayward98b,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Penrose inequalities, Spherical symmetry, Reissner-Nordstr{\"{o}}m solution},
onlineversion = {http://arXiv.org/abs/gr-qc/9807003v1},
pages = {4557--4559},
title = {Inequalities relating area, energy, surface gravity and charge of black holes},
volume = {81},
year = {1998}
}
@article{bendov04,
author = {Ben-Dov, I.},
cited = {21 February 2005},
format = {print},
journal = {Phys. Rev. D},
keywords = {Penrose inequalities, Spherical symmetry, Reissner-Nordstr{\"{o}}m solution},
onlineversion = {http://arXiv.org/abs/gr-qc/0408066v1},
pages = {124031--1-11},
title = {Penrose nequality and apparent horizons},
volume = {70},
year = {2004}
}
@preprint{weinstein:yamada04,
author = {Weinstein, G. and Yamada, S.},
cited = {21 February 2005},
format = {arxiv},
id = {math.DG/0405602v3},
keywords = {Black holes, Penrose inequalities, Einstein-Maxwell equations},
title = {On a Penrose inequality with charge},
url = {http://arXiv.org/abs/math.DG/0405602v3},
year = {2004}
}
@misc{dain03p,
author = {Dain, S.},
format = {personal communication},
keywords = {Black holes, Penrose inequalities, Einstein-Maxwell equations},
month = {September},
year = {2003}
}
@incollection{thorne72,
address = {San Francisco, U.S.A.},
author = {K.S. Thorne},
booktitle = {Magic Without Magic: John Archibald Wheeler. A Collection of Essays in Honor of His Sixtieth Birthday},
editor = {Klauder, J.},
format = {print},
keywords = {Gravitational collapse, Black holes, Hoop conjecture},
pages = {231--258},
publisher = {W.H. Freeman},
title = {Nonspherical gravitational collapse, a short review},
year = {1972}
}
@article{flanagan91,
author = {Flanagan, \'E.\'E.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Hoop conjecture, Gravitational collapse, Cosmic censorship},
pages = {2409--2420},
title = {Hoop conjecture for black-hole horizon formation},
volume = {44},
year = {1991}
}
@article{barrabes:etal91,
author = {Barrab\`es, C. and Israel, W. and Letelier, P.S.},
format = {print},
journal = {Phys. Lett. A},
keywords = {Gravitational collapse, Cosmic censorship, Hoop conjecture},
pages = {41--44},
title = {Analytic models of nonspherical collapse, cosmic censorship and the hoop conjecture},
volume = {160},
year = {1991}
}
@article{barrabes:etal92,
author = {Barrab\`es, C. and Gramain, A. and Lesigne, E. and Letelier, P.S.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Gravitational collapse, Hoop conjecture, Penrose inequalities},
pages = {L105--L110},
title = {Geometric inequalities and the hoop conjecture},
volume = {9},
year = {1992}
}
@article{malec91,
author = {Malec, E.},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Gravitational collapse, Hoop conjecture, Penrose inequalities},
pages = {949--952},
title = {Hoop conjecture and trapped surfaces in non-spherical massive systems},
volume = {67},
year = {1991}
}
@article{koc:malec92,
author = {Koc, P. and Malec, E.},
format = {print},
journal = {Acta Phys. Pol. B},
keywords = {Gravitational collapse, Hoop conjecture, Penrose inequalities},
pages = {123--133},
title = {Trapped surfaces in nonspherical open universes},
volume = {23},
year = {1992}
}
@article{tod92b,
author = {Tod, K.P.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Gravitational collapse, Hoop conjecture, Penrose inequalities},
pages = {1581--1591},
title = {The hoop conjecture and the Gibbons--Penrose construction of trapped surfaces},
volume = {9},
year = {1992}
}
@article{pelath:etal98,
author = {Pelath, M.A. and Tod, K.P. and Wald, R.M.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Penrose inequalities, Gravitational collapse, Hoop conjecture},
onlineversion = {http://arXiv.org/abs/gr-qc/9805051v1},
pages = {3917--3934},
title = {Trapped surfaces in prolate collapse in the Gibbons--Penrose construction},
volume = {15},
year = {1998}
}
@article{yoshino:etal02,
author = {Yoshino, H. and Nambu, Y. and Tomimatsu, A.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Hoop conjecture, Black holes, Numerical relativity},
onlineversion = {http://arXiv.org/abs/gr-qc/0109016v1},
pages = {064034-1--6},
title = {Hoop conjecture for colliding black holes: Non-time-symmetric initial data},
volume = {65},
year = {2002}
}
@article{hawking72,
author = {Hawking, S.W.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Gravitational collapse, Black holes, Event horizons},
pages = {152--166},
title = {Black holes in general relativity},
volume = {25},
year = {1972}
}
@inproceedings{hawking73,
address = {New York, U.S.A.},
author = {Hawking, S.W.},
booktitle = {Black Holes},
conference = {Based on lectures given at the 23rd session of the Summer School of Les Houches, 1972},
editor = {DeWitt, C. and DeWitt, B.S.},
format = {print},
keywords = {Gravitational collapse, Black holes, Event horizons},
pages = {1--56},
publisher = {Gordon and Breach},
title = {The Event Horizon},
year = {1973}
}
@article{bardeen:etal73,
author = {Bardeen, J.M. and Carter, B. and Hawking, S.W.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Black holes, Event horizons, Black hole thermodynamics},
pages = {161--170},
title = {The four laws of black hole mechanics},
volume = {31},
year = {1973}
}
@article{hawking75,
author = {Hawking, S.W.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Hawking radiation, Quantum field theory in curved spacetime, Black holes},
pages = {199--220},
title = {Particle creation by black holes},
volume = {43},
year = {1975}
}
@article{wald01,
author = {Wald, R.M.},
cited = {29 January 2004},
format = {electronic},
id = {lrr-2001-6},
journal = {Living Rev. Relativity},
keywords = {Black hole thermodynamics, Entropy bounds, Hawking radiation},
title = {The Thermodynamics of Black Holes},
url = {http://www.livingreviews.org/lrr-2001-6},
volume = {4},
year = {2001}
}
@article{hayward:etal99,
author = {Hayward, S.A. and Mukohyama, S. and Ashworth, M.C.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Lett. A},
keywords = {Black holes, Entropy, Spherical symmetry},
onlineversion = {http://arXiv.org/abs/gr-qc/9810006v1},
pages = {347--350},
title = {Dynamic black-hole entropy},
volume = {256},
year = {1999}
}
@article{mukohyama:hayward00,
author = {Mukohyama, S. and Hayward, S.A.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Event horizons, Black hole thermodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9905085v2},
pages = {2153--2157},
title = {Quasi-local first law of black hole mechanics},
volume = {17},
year = {2000}
}
@article{garfinkle:mann00,
author = {Garfinkle, D. and Mann, R.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Entropy, Canonical methods},
onlineversion = {http://arXiv.org/abs/gr-qc/0004056v2},
pages = {3317--3324},
title = {Generalized entropy and Noether charge},
volume = {17},
year = {2000}
}
@preprint{hayward00,
author = {Hayward, S.A.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/0004042v1},
keywords = {Energy and momentum, Canonical methods, Mass functions},
title = {Gravitational energy as Noether charge},
url = {http://arXiv.org/abs/gr-qc/0004042v1},
year = {2000}
}
@article{booth:fairhurst03b,
author = {Booth, I. and Fairhurst, S.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Black hole thermodynamics, Spacetime perturbations},
onlineversion = {http://arXiv.org/abs/gr-qc/0307087v2},
pages = {011102-1--4},
title = {The first law for slowly evolving horizons},
volume = {92},
year = {2004}
}
@article{ashtekar:etal00b,
author = {Ashtekar, A. and Fairhurst, S. and Krishnan, B.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Event horizons, Hamiltonian formulation},
onlineversion = {http://arXiv.org/abs/gr-qc/0005083v3},
pages = {104025-1--29},
title = {Isolated horizons: Hamiltonian evolution and the first law},
volume = {62},
year = {2000}
}
@article{ashtekar:etal01,
author = {Ashtekar, A. and Beetle, C. and Lewandowski, J.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Canonical methods, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0103026v2},
pages = {044016-1--17},
title = {Mechanics of rotating isolated horizons},
volume = {64},
year = {2001}
}
@article{ashtekar:etal02,
author = {Ashtekar, A. and Beetle, C. and Lewandowski, J.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Null surfaces, Newman-Penrose formalism},
onlineversion = {http://arXiv.org/abs/gr-qc/0111067v1},
pages = {1195--1225},
title = {Geometry of generic isolated horizons},
volume = {19},
year = {2002}
}
@article{ashtekar:krishnan02,
author = {Ashtekar, A. and Krishnan, B.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Energy and momentum, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0207080v3},
pages = {261101-1--261101-4},
title = {Dynamical horizons: Energy, angular momentum, fluxes and balance laws},
volume = {89},
year = {2002}
}
@article{ashtekar:krishnan03,
author = {Ashtekar, A. and Krishnan, B.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Energy and momentum, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0308033v4},
pages = {104030-1--25},
title = {Dynamical horizons and their properties},
volume = {68},
year = {2003}
}
@article{balachandran:etal96,
author = {Balachandran, A.P. and Momen, A. and Chandar, L.},
cited = {29 January 2004},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Quasi-local observables, Canonical methods, Gauge theories},
onlineversion = {http://arXiv.org/abs/gr-qc/9412019v2},
pages = {581--596},
title = {Edge states in gravity and black hole physics},
volume = {461},
year = {1996}
}
@preprint{balachandran:etal95,
author = {Balachandran, A.P. and Chandar, L. and Momen, A.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9506006v2},
keywords = {Quasi-local observables, Canonical methods, Gauge theories},
title = {Edge States in Canonical Gravity},
url = {http://arXiv.org/abs/gr-qc/9506006v2},
year = {1995}
}
@preprint{carlip95,
author = {Carlip, S.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9509024v2},
keywords = {Quasi-local observables, Canonical methods, Gauge theories},
title = {Statistical Mechanics and Black Hole Entropy},
url = {http://arXiv.org/abs/gr-qc/9509024v2},
year = {1995}
}
@article{carlip99a,
author = {Carlip, S.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Quasi-local observables, Canonical methods, Entropy},
onlineversion = {http://arXiv.org/abs/hep-th/9812013v3},
pages = {2828--2831},
title = {Black hole entropy from conformal field theory in any dimension},
volume = {82},
year = {1999}
}
@article{carlip99b,
author = {Carlip, S.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local observables, Canonical methods, Entropy},
onlineversion = {http://arXiv.org/abs/gr-qc/9906126v2},
pages = {3327--3348},
title = {Entropy from conformal field theory at Killing horizons},
volume = {16},
year = {1999}
}
@article{carlip00,
author = {Carlip, S.},
cited = {29 January 2004},
format = {print},
journal = {Nucl. Phys. B (Proc. Suppl.)},
keywords = {Quasi-local observables, Canonical methods, Entropy},
onlineversion = {http://arXiv.org/abs/gr-qc/9912118v1},
pages = {10--16},
title = {Black hole entropy from conformal field theory},
volume = {88},
year = {2000}
}
@article{park02,
author = {Park, M.I.},
cited = {29 January 2004},
format = {print},
journal = {Nucl. Phys. B},
keywords = {Black holes, Entropy, Canonical methods},
onlineversion = {http://arXiv.org/abs/hep-th/0111224v4},
pages = {339--369},
title = {The Hamiltonian dynamics of bounded spacetime and black hole entropy: The canonical method},
volume = {634},
year = {2002}
}
@article{carlip02,
author = {Carlip, S.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Entropy, Conformal field theory},
onlineversion = {http://arXiv.org/abs/gr-qc/0203001v1},
pages = {241301-1--241301-4},
title = {Near-horizon conformal symmetry and black hole entropy},
volume = {88},
year = {2002}
}
@article{aichelburg71,
author = {Aichelburg, P.C.},
format = {print},
journal = {Acta Phys. Austriaca},
keywords = {Gravitational waves, Boundary conditions, Linear equations},
pages = {279--284},
title = {Remark on the superposition principle for gravitational waves},
volume = {34},
year = {1971}
}
@article{szab87,
author = {Szabados, L.B.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Symmetry, Groups of motion, Differential geometry},
pages = {2688--2691},
title = {Commutation properties of cyclic and null Killing symmetries},
volume = {28},
year = {1987}
}
@preprint{thooft93,
author = {'t Hooft, G.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/9310026v1},
keywords = {Quantum gravity, Black holes, Holographic principle},
note = {Utrecht preprint THU-93/26},
title = {Dimensional Reduction in Quantum Gravity},
url = {http://arXiv.org/abs/gr-qc/9310026v1},
year = {1993}
}
@article{susskind95,
author = {Susskind, L.},
cited = {29 January 2004},
format = {print},
journal = {J. Math. Phys.},
keywords = {Quantum gravity, Black holes, Holographic principle},
onlineversion = {http://arXiv.org/abs/hep-th/9409089v2},
pages = {6377--6396},
title = {The world as a hologram},
volume = {36},
year = {1995}
}
@article{bousso99,
author = {Bousso, R.},
cited = {29 January 2004},
format = {print},
journal = {J. High Energy Phys.},
keywords = {Holographic principle, Event horizons, Entropy},
onlineversion = {http://arXiv.org/abs/hep-th/9906022v2},
pages = {028},
title = {Holography in general space-times},
volume = {06},
year = {1999}
}
@article{bousso02,
author = {Bousso, R.},
cited = {29 January 2004},
format = {print},
journal = {Rev. Mod. Phys.},
keywords = {Holographic principle, Entropy bounds, Black holes},
onlineversion = {http://arXiv.org/abs/hep-th/0203101v2},
pages = {825--874},
title = {The holographic principle},
volume = {74},
year = {2002}
}
@article{bekenstein73,
author = {Bekenstein, J.D.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Black hole thermodynamics, Entropy},
pages = {2333--2346},
title = {Black holes and entropy},
volume = {7},
year = {1973}
}
@article{bekenstein74,
author = {Bekenstein, J.D.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Black hole thermodynamics, Entropy},
pages = {3292--3300},
title = {Generalized second law of thermodynamics in black-hole physics},
volume = {9},
year = {1974}
}
@article{bekenstein81a,
author = {Bekenstein, J.D.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black hole thermodynamics, Entropy bounds, Statistical mechanics},
pages = {287--298},
title = {Universal upper bound on the entropy-to energy ratio for bounded systems},
volume = {23},
year = {1981}
}
@article{bekenstein82,
author = {Bekenstein, J.D.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Black holes, Black hole thermodynamics, Entropy bounds},
pages = {355--359},
title = {Black holes and everyday physics},
volume = {14},
year = {1982}
}
@article{unruh:wald82,
author = {Unruh, W.G. and Wald, R.M.},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black hole thermodynamics, Entropy bounds, Hawking radiation},
pages = {942--958},
title = {Acceleration radiation and the generalized second law of thermodynamics},
volume = {25},
year = {1982}
}
@article{zaslavskii92,
author = {Zaslavskii, O.B.},
format = {print},
journal = {Gen. Relativ. Gravit.},
keywords = {Black holes, Black hole thermodynamics, Entropy bounds},
pages = {973--983},
title = {Entropy and action bounds for charged black holes},
volume = {24},
year = {1992}
}
@article{hod99,
author = {Hod, S.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Entropy bounds, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/9901035v2},
pages = {024018-1--4},
title = {Universal entropy bound for rotating systems},
volume = {61},
year = {1999}
}
@article{bekenstein:mayo99,
author = {Bekenstein, J.D. and Mayo, A.E.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Black holes, Entropy bounds, Thermodynamics},
onlineversion = {http://arXiv.org/abs/gr-qc/9903002v2},
pages = {024022-1--8},
title = {Black hole polarization and new entropy bounds},
volume = {61},
year = {1999}
}
@preprint{page00a,
author = {Page, D.N.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/0005111v1},
keywords = {Entropy bounds, Thermodynamics, Electromagnetic fields},
note = {Report No. Alberta-Thy-06-00},
title = {Huge Violations of Bekenstein's Entropy Bound},
url = {http://arXiv.org/abs/gr-qc/0005111v1},
year = {2000}
}
@preprint{page00b,
author = {Page, D.N.},
cited = {29 January 2004},
format = {arxiv},
id = {hep-th/0007237v1},
keywords = {Entropy bounds, Thermodynamics, Electromagnetic fields},
note = {Report No. Alberta-Thy-08-00},
title = {Subsystem entropy exceeding Bekenstein's bound},
url = {http://arXiv.org/abs/hep-th/0007237v1},
year = {2000}
}
@preprint{page00c,
author = {Page, D.N.},
cited = {29 January 2004},
format = {arxiv},
id = {hep-th/0007238},
keywords = {Entropy bounds, Thermodynamics, Quantum field theory},
note = {Report No. Alberta-Thy-09-00},
title = {Defining entropy bounds},
url = {http://arXiv.org/abs/hep-th/0007238},
year = {2000}
}
@preprint{bekenstein00a,
author = {Bekenstein, J.D.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/0006003v3},
keywords = {Entropy bounds, Thermodynamics, Statistical mechanics},
title = {On Page's examples challenging the entropy bound},
url = {http://arXiv.org/abs/gr-qc/0006003v3},
year = {2000}
}
@article{flanagan:etal00,
author = {Flanagan, \'E.\'E. and Marolf, D. and Wald, R.M.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Entropy bounds, Null surfaces, Event horizons},
onlineversion = {http://arXiv.org/abs/hep-th/9908070v4},
pages = {084035-1--11},
title = {Proof of classical versions of the Bousso entropy bound and of the generalized second law},
volume = {62},
year = {2000}
}
@article{gour03,
author = {Gour, G.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Black holes, Entropy bounds, Angular momentum},
onlineversion = {http://arXiv.org/abs/gr-qc/0302117v1},
pages = {3403--3412},
title = {Entropy bounds for charged and rotating systems},
volume = {20},
year = {2003}
}
@article{purdue99,
author = {Purdue, P.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Tidal heating, Pseudotensors, Gauge conditions},
onlineversion = {http://arXiv.org/abs/gr-qc/9901086v2},
pages = {104054-1--8},
title = {The gauge invariance of general relativistic tidal heating},
volume = {60},
year = {1999}
}
@article{favata01,
author = {Favata, M.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Tidal heating, Pseudotensors, Gauge conditions},
onlineversion = {http://arXiv.org/abs/gr-qc/0008061v1},
pages = {064013-1--14},
title = {Energy localization invariance of tidal work in general relativity},
volume = {63},
year = {2001}
}
@article{booth:creighton00,
author = {Booth, I.S. and Creighton, J.D.E.},
cited = {29 January 2004},
format = {print},
journal = {Phys. Rev. D},
keywords = {Quasi-local energy-momentum, Tidal heating, Mass functions},
onlineversion = {http://arXiv.org/abs/gr-qc/0003038v2},
pages = {067503-1--4},
title = {A quasilocal calculation of tidal heating},
volume = {62},
year = {2000}
}
@article{parker84,
author = {Parker, P.E.},
format = {print},
journal = {J. Math. Phys.},
keywords = {Global methods, Differential geometry, Topology},
pages = {597--599},
title = {On some theorem of Geroch and Stiefel},
volume = {25},
year = {1984}
}
@book{spivakV79,
address = {Berkeley, U.S.A.},
author = {Spivak, M.},
edition = {2nd},
format = {print},
keywords = {Differential equations, Differential geometry, Topology},
publisher = {Publish or Perish},
title = {A Comprehensive Introduction to Differential Geometry},
volume = {5},
year = {1979}
}
@book{penrose72a,
address = {Philadelphia, U.S.A.},
author = {Penrose, R.},
format = {print},
keywords = {Global methods, Causal structure, Singularities},
publisher = {SIAM},
series = {Regional Conference Series in Applied Mathematics},
title = {Techniques of Differential Topology in Relativity},
volume = {7},
year = {1972}
}
@book{PR1,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Penrose, R. and Rindler, W.},
format = {print},
keywords = {Spinors, Newman-Penrose formalism, Complex analysis},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {Spinors and space-time. Vol.1: Two-spinor calculus and relativistic fields},
year = {1984}
}
@book{PR2,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Penrose, R. and Rindler, W.},
format = {print},
keywords = {Twistors, Quasi-local mass, Complex analysis},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {Spinors and space-time. Vol.2: Spinor and twistor methods in space-time geometry},
year = {1986}
}
@book{hugget:tod85,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Hugget, S.A. and Tod, K.P.},
format = {print},
keywords = {Spinors, Twistors, Complex analysis},
publisher = {Cambridge University Press},
series = {London Mathematical Society Student Texts},
title = {An Introduction to Twistor Theory},
volume = {4},
year = {1985}
}
@book{stewart90,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Stewart, J.M.},
format = {print},
keywords = {Spinors, Characteristic initial value problem, General relativity},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {Advanced general relativity},
year = {1990}
}
@book{haag92,
address = {Berlin, Germany; New York, U.S.A.},
author = {Haag, R.},
format = {print},
keywords = {Quantum field theory, Functional analysis, Mathematical physics},
publisher = {Springer},
series = {Texts and Monographs in Physics},
title = {Local Quantum Physics, Fields, Particles, Algebras},
year = {1992}
}
@book{HE73,
address = {Cambridge, U.K.},
author = {Hawking, S.W. and Ellis, G.F.R.},
format = {print},
keywords = {Causal structure, Singularities, Black holes},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {The Large Scale Structure of Space-Time},
year = {1973}
}
@book{MTW73,
address = {San Francisco, U.S.A.},
author = {Misner, C.W. and Thorne, K.S. and Wheeler, J.A.},
format = {print},
keywords = {Gravity, Special relativity, General relativity},
publisher = {W.H. Freeman},
title = {Gravitation},
year = {1973}
}
@book{ashtekarbook91,
address = {Singapore},
author = {Ashtekar, A.},
format = {print},
keywords = {Quantum gravity, Ashtekar variables, Canonical methods},
publisher = {World Scientific},
series = {Advanced Series in Astrophysics and Cosmology},
title = {Lectures on Non-Perturbative Canonical Gravity},
volume = {6},
year = {1991}
}
@book{kijowski:tulczyjew79,
address = {Berlin, Germany; New York, U.S.A.},
author = {Kijowski, J. and Tulczyjew, W.M.},
format = {print},
keywords = {Canonical methods, Hamiltonian formulation, Classical field theory},
publisher = {Springer},
series = {Lecture Notes in Physics},
title = {A Symplectic Framework for Field Theories},
volume = {107},
year = {1979}
}
@book{exactsol80,
address = {Cambridge, U.K.; New York, U.S.A.},
author = {Kramer, D. and Stephani, H. and MacCallum, M.A.H. and Herlt, E.},
format = {print},
keywords = {Exact solutions, Symmetry, Einstein equations},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {Exact Solutions of Einstein's Field Equations},
year = {1980}
}
@book{waldbook84,
address = {Chicago, U.S.A.},
author = {Wald, R.M.},
format = {print},
keywords = {Gravity, Special relativity, General relativity},
publisher = {University of Chicago Press},
title = {General Relativity},
year = {1984}
}
@book{waldbook94,
address = {Chicago, U.S.A.},
author = {Wald, R.M.},
format = {print},
keywords = {Quantum field theory in curved spacetime, Black holes, Thermodynamics},
publisher = {University of Chicago Press},
series = {Chicago Lectures in Physics},
title = {Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics},
year = {1994}
}
@article{beig:szab97,
author = {Beig, R. and Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Conformal geometry, Initial value problem, Theory of connections},
onlineversion = {http://arXiv.org/abs/gr-qc/9706078v1},
pages = {3091--3107},
title = {On a global conformal invariant of initial data sets},
volume = {14},
year = {1997}
}
@article{szab00,
author = {Szabados, L.B.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Conformal geometry, Twistors, Theory of connections},
onlineversion = {http://arXiv.org/abs/gr-qc/9909052v1},
pages = {793--811},
title = {On certain global conformal invariants and 3-surface twistors of initial data sets},
volume = {17},
year = {2000}
}
@article{nester04,
author = {Nester, J.M.},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Quasi-local energy-momentum, Canonical methods, Pseudotensors},
pages = {S261--S280},
title = {General pseudotensors and quasilocal quantities},
volume = {21},
year = {2004}
}
@article{chrusciel:nagy01,
author = {Chru\'sciel, P.T. and Nagy, G.},
cited = {29 January 2004},
format = {print},
journal = {Class. Quantum Grav.},
keywords = {Energy and momentum, Hamiltonian formulation, Anti-de Sitter space},
onlineversion = {http://arXiv.org/abs/hep-th/0011270v2},
pages = {L61--L68},
title = {A Hamiltonian mass of asymptotically anti-de Sitter space-times},
volume = {18},
year = {2001}
}
@article{corvino00,
author = {Corvino, J.},
format = {print},
journal = {Commun. Math. Phys.},
keywords = {Cauchy problem, Constraint equations, Schwarzschild solution},
pages = {137--189},
title = {Scalar curvature deformation and a gluing construction for the Einstein constraint equations},
volume = {214},
year = {2000}
}
@preprint{corvino:schoen03,
author = {Corvino, J. and Schoen, R.M.},
cited = {29 January 2004},
format = {arxiv},
id = {gr-qc/0301071v1},
keywords = {Cauchy problem, Constraint equations, Kerr solution},
title = {On the Asymptotics for the Vacuum Einstein Constraint Equations},
url = {http://arXiv.org/abs/gr-qc/0301071v1},
year = {2003}
}
@article{huisken:yau96,
author = {Huisken, G. and Yau, S.-T.},
format = {print},
journal = {Invent. Math.},
keywords = {Foliations, Constant mean curvature hypersurfaces, Differential geometry},
pages = {281--311},
title = {Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature},
volume = {124},
year = {1996}
}