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title = {Einstein equations and conformal structure: Existence of anti-de-Sitter-type space-times},
volume = {17},
year = {1995}
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adsurl = {http://adsabs.harvard.edu/abs/1996CQGra..13.1451F},
author = {Friedrich, H.},
doi = {10.1088/0264-9381/13/6/014},
journal = {Class. Quantum Grav.},
keywords = {Einstein equations, Hyperbolic equations, Initial value problem},
pages = {1451--1469},
title = {Hyperbolic reductions for Einstein's equations},
volume = {13},
year = {1996}
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author = {Friedrich, H.},
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journal = {J. Geom. Phys.},
keywords = {Asymptotics, Einstein equations, Elliptic equations, Existence theorems, Hyperbolic equations, Initial value problem, Uniqueness theorems},
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title = {Gravitational fields near space-like and null infinity},
volume = {24},
year = {1998}
}
@inproceedings{friedrich98_oxford_talk,
address = {Oxford, U.K.; New York},
author = {Friedrich, H.},
booktitle = {The Geometric Universe: Science, Geometry, and the Work of Roger Penrose},
conference = {Proceedings of the Symposium `Geometric Issues in the Foundations of Science', Oxford, 1996},
editor = {Huggett, S. A. and Mason, L. J. and Tod, K. P. and Tsou, S. S. and Woodhouse, N. M. J.},
keywords = {Asymptotics, Einstein equations, Elliptic equations, Existence theorems, Hyperbolic equations, Initial value problem, Uniqueness theorems},
pages = {81--98},
publisher = {Oxford University Press},
title = {Einstein's equation and conformal structure},
year = {1998}
}
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author = {Friedrich, H. and K{\'{a}}nn{\'{a}}r, J.},
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journal = {J. Math. Phys.},
keywords = {Asymptotics, Isolated systems},
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pages = {2195--2232},
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year = {2000}
}
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adsurl = {http://adsabs.harvard.edu/abs/1999CMaPh.201..619F},
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keywords = {Einstein equations, Elliptic equations, Existence theorems, Hyperbolic equations, Initial value problem, Uniqueness theorems},
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volume = {201},
year = {1999}
}
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author = {Friedrich, H. and Schmidt, B. G.},
journal = {Proc. R. Soc. London, Ser. A},
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pages = {171--195},
title = {Conformal geodesics in general relativity},
volume = {414},
year = {1987}
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adsurl = {http://adsabs.harvard.edu/abs/1970JMP....11.1955G},
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journal = {J. Math. Phys.},
keywords = {Asymptotics, Differential geometry, Isolated systems},
pages = {1955--1961},
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adsurl = {http://adsabs.harvard.edu/abs/1970JMP....11.2580G},
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doi = {10.1063/1.1665427},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Differential geometry, Isolated systems},
pages = {2580--2588},
title = {Multipole Moments. II. Curved Space},
volume = {11},
year = {1970}
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address = {New York},
author = {Geroch, R.},
booktitle = {General Relativity and Cosmology},
conference = {Proceedings of the International School of Physics ``Enrico Fermi'', Course 47, June 30\,--\,July 12, 1969},
editor = {Sachs, R. K.},
keywords = {Asymptotics, Differential geometry},
pages = {71--103},
publisher = {Academic Press},
title = {Space-time structure from a global point of view},
year = {1971}
}
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address = {New York},
author = {Geroch, R.},
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editor = {Esposito, F. P. and Witten, L.},
keywords = {Asymptotics, Differential geometry},
pages = {1--105},
publisher = {Plenum Press},
title = {Asymptotic structure of space-time},
year = {1977}
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keywords = {Asymptotics, Differential geometry},
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volume = {40},
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keywords = {Null surfaces, Spinors},
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year = {1967}
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@incollection{goldberg80_invar,
address = {New York},
author = {Goldberg, J. N.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
keywords = {Asymptotics, Canonical methods, Differential geometry, Isolated systems},
pages = {469--489},
publisher = {Plenum Press},
title = {Invariant transformations, conservation laws, and energy-momentum},
volume = {1},
year = {1980}
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address = {New York},
author = {Gustafsson, B. and Kreiss, H.-O. and Oliger, J.},
gbs_id = {1JZ2mSQ-O6MC},
keywords = {Numerical mathematics},
publisher = {Wiley},
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title = {Time Dependent Problems and Difference Methods},
year = {1995}
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adsurl = {http://adsabs.harvard.edu/abs/1974JMP....15...46H},
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doi = {10.1063/1.1666501},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Differential geometry, Isolated systems},
pages = {46--52},
title = {Multipole moments of stationary space-times},
volume = {15},
year = {1974}
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@book{hawking73,
address = {Cambridge},
author = {Hawking, S. W. and Ellis, G. F. R.},
gbs_id = {QagG{\_}KI7Ll8C},
keywords = {Large scale structure},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {The Large Scale Structure of Space-Time},
year = {1973}
}
@phdthesis{huebner93_numer_unter_raumz_techn,
address = {Munich},
author = {H{\"{u}}bner, P.},
format = {phd},
keywords = {Asymptotics, Hyperbolic equations, Initial value problem, Numerical methods},
school = {Ludwig-Maximilians-Universit{\"a}t},
title = {Numerische und analytische Untersuchungen von (singul{\"a}ren,) asymptotisch flachen Raumzeiten mit konformen Techniken},
year = {1993}
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@article{huebner94_method_calc_sing_spti,
author = {H{\"{u}}bner, P.},
eprint = {gr-qc/940902},
journal = {Phys. Rev. D},
keywords = {Asymptotics, Hyperbolic equations, Initial value problem, Numerical methods},
number = {2},
pages = {701--721},
title = {Method for calculating the global structure of (singular) spacetimes},
volume = {53},
year = {1994}
}
@article{huebner95_gener_relat_scal_field,
author = {H{\"{u}}bner, P.},
doi = {10.1088/0264-9381/12/3/016},
eprint = {gr-qc/9408012},
journal = {Class. Quantum Grav.},
keywords = {Asymptotics, Hyperbolic equations, Initial value problem, Numerical methods},
number = {3},
pages = {791--808},
title = {General relativistic scalar-field models and asymptotic flatness},
volume = {12},
year = {1995}
}
@article{huebner96_numer_glob,
author = {H{\"{u}}bner, P.},
journal = {Helv. Phys. Acta},
keywords = {Asymptotics, Hyperbolic equations, Initial value problem, Numerical methods},
pages = {316--320},
title = {Numerical approach to the global structure of space-time},
volume = {69},
year = {1996}
}
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doi = {10.1088/0264-9381/15/3/002},
journal = {Class. Quantum Grav.},
keywords = {Asymptotics, Einstein equations, Exact solutions},
pages = {L21--L25},
title = {More about vacuum spacetimes with toroidal null infinities},
volume = {15},
year = {1998}
}
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author = {H{\"{u}}bner, P.},
eprint = {gr-qc/9804065},
journal = {Class. Quantum Grav.},
keywords = {Asymptotics, Gravitational radiation, Hyperbolic equations, Initial value problem, Numerical methods},
number = {7},
pages = {2145--2164},
title = {How to avoid artificial boundaries in the numerical calculation of black hole space-times},
volume = {16},
year = {1999}
}
@article{huebner99_scheme_einstein,
archiveprefix = {arXiv},
author = {H{\"{u}}bner, P.},
eprint = {gr-qc/9903088},
journal = {Class. Quantum Grav.},
keywords = {Asymptotics, Gravitational radiation, Hyperbolic equations, Initial value problem, Numerical methods},
pages = {2823--2843},
primaryclass = {gr-qc},
title = {A scheme to numerically evolve data for the conformal Einstein equation},
volume = {16},
year = {1999}
}
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address = {Oxford, U.K.; New York},
conference = {Proceedings of the Symposium `Geometric Issues in the Foundations of Science', Oxford, 1996},
editor = {Huggett, S. A. and Mason, L. J. and Tod, K. P. and Tsou, S. S. and Woodhouse, N. M. J.},
keywords = {no keywords},
publisher = {Oxford University Press},
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year = {1998}
}
@mastersthesis{hungerbuehler97_loesun_system_allgem_relat_pseud,
address = {T{\"u}bingen},
author = {Hungerb{\"{u}}hler, R.},
format = {dipl},
keywords = {Einstein equations, Numerical methods, Spectral methods},
school = {Universit{\"a}t T{\"u}bingen},
title = {L{\"o}sung kugelsymmetrischer Systeme in der Allgemeinen Relativit{\"a}tstheorie mit Pseudospektralmethoden},
year = {1997}
}
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author = {Isenberg, J. A. and Park, J.},
doi = {10.1088/0264-9381/14/1A/016},
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keywords = {Asymptotics, Constraint equations, Elliptic equations},
pages = {A189--A201},
title = {Asymptotically hyberbolic nonconstant mean curvature solutions of the Einstein constraint equations},
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year = {1997}
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@book{jordan61_beitr_theor_gravit,
address = {Mainz},
author = {Jordan, P. and Ehlers, J. and Sachs, R. K.},
keywords = {Differential geometry, Gravitational radiation},
publisher = {Akad. Wiss. Lit.},
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title = {Beitr{\"a}ge zur Theorie der reinen Gravitationsstrahlung},
year = {1961}
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keywords = {Asymptotics, Einstein equations, Existence theorems, Initial value problem, Uniqueness theorems},
pages = {945--952},
title = {On the existence of $\cal C^\infty$ solutions to the asymptotic characteristic initial value problem in general elativity},
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year = {1996}
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author = {K{\'{a}}nn{\'{a}}r, J.},
doi = {10.1088/0264-9381/13/11/021},
journal = {Class. Quantum Grav.},
keywords = {Asymptotics, Constraint equations, Einstein equations, Existence theorems, Initial value problem, Uniqueness theorems},
number = {11},
pages = {3075--3084},
title = {Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant},
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year = {1996}
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address = {Pune, India},
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booktitle = {Gravitation and Relativity: At the Turn of the Millenium},
conference = {Proceedings of the 15th International Conference on General Relativity and Gravitation (GR-15), held at IUCAA, Pune, India, December 16-21, 1997},
editor = {Dadhich, N. and Narlikar, J. V.},
keywords = {Einstein equations, Null surfaces},
pages = {139--152},
publisher = {IUCAA},
title = {Dynamics of null surfaces in general relativity},
year = {1998}
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eprint = {gr-qc/9805094},
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keywords = {Asymptotics, Gravitational radiation},
pages = {2479--2491},
title = {Conserved quantities for polyhomogeneous space-times},
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year = {1998}
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year = {1999}
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@book{lichnerowicz55_theor,
address = {Paris},
author = {Lichnerowicz, A.},
keywords = {General relativity},
publisher = {Masson},
title = {Th{\'e}ories relativistes de la gravitation et de l'{\'e}lectromagn{\'e}tisme: Relativit{\'e} g{\'e}n{\'e}rale et th{\'e}ories unitaires},
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keywords = {Differential geometry, Gravitational radiation},
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title = {Sur les ondes et radiations gravitationnelles},
volume = {246},
year = {1958}
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@article{marder58_gravit_i,
author = {Marder, L.},
journal = {Proc. R. Soc. London, Ser. A},
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title = {Gravitational waves in general relativity I. Cylindrical waves},
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year = {1958}
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@article{marder58_gravit_ii,
author = {Marder, L.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Exact solutions, Gravitational radiation},
pages = {133--143},
title = {Gravitational waves in general relativity II. The reflexion of cylindrical waves},
volume = {246},
year = {1958}
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@article{marder61_gravit_v,
author = {Marder, L.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Exact solutions, Gravitational radiation},
pages = {91--96},
title = {Gravitational waves in general relativity V. An exact spherical wave},
volume = {261},
year = {1961}
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@article{mccarthy72_repres_bondi_metzn_sachs_i,
author = {McCarthy, P. J.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotics, Mathematical physics},
pages = {517--535},
title = {Representations of the Bondi--Metzner-Sachs group I. Determination of the representations},
volume = {330},
year = {1972}
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@article{mccarthy72_struc_bondi_metzn_sachs,
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doi = {10.1063/1.1665917},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Mathematical physics},
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title = {Structure of the Bondi--Metzner--Sachs Group},
volume = {13},
year = {1972}
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@article{mccarthy73_repres_bondi_metzn_sachs_ii,
author = {McCarthy, P. J.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotics, Mathematical physics},
pages = {317--336},
title = {Representations of the Bondi--Metzner--Sachs group II. Properties and classification of the representations},
volume = {333},
year = {1973}
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@article{mclennan56_confor,
author = {McLennan, J. A.},
journal = {Nuovo Cimento},
keywords = {Mathematical physics, Spinors},
pages = {1360--1379},
title = {Conformal invariance and conservation laws for relativistic wave equations for zero rest mass},
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year = {1956}
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@article{newman62_behav,
adsurl = {http://adsabs.harvard.edu/abs/1962JMP.....3..891N},
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doi = {10.1063/1.1724303},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Einstein equations, Gravitational radiation},
pages = {891--901},
title = {Behavior of Asymptotically Flat Empty Spaces},
volume = {3},
year = {1962}
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adsurl = {http://adsabs.harvard.edu/abs/1962JMP.....3..566N},
author = {Newman, E. T. and Penrose, R.},
doi = {10.1063/1.1724257},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Einstein equations, Gravitational radiation, Spinors},
note = {Errata: J. Math. Phys. 4 (1963) 998},
pages = {566--578},
title = {An Approach to gravitational radiation by a method of spin coefficients},
volume = {3},
year = {1962}
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@article{newman66_note_bondi_metzn_sachs,
adsurl = {http://adsabs.harvard.edu/abs/1966JMP.....7..863N},
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doi = {10.1063/1.1931221},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Mathematical physics},
pages = {863--870},
title = {Note on the Bondi--Metzner--Sachs Group},
volume = {7},
year = {1966}
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@article{newman68_new,
adsurl = {http://adsabs.harvard.edu/abs/1968RSPSA.305..175N},
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doi = {10.1098/rspa.1968.0112},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotics, Isolated systems, Spinors},
pages = {175--204},
title = {New Conservation Laws for Zero Rest-Mass Fields in Asymptotically Flat Space-Time},
volume = {305},
year = {1968}
}
@article{newman76_heaven,
author = {Newman, E. T.},
doi = {10.1007/BF00762018},
journal = {Gen. Relativ. Gravit.},
keywords = {Asymptotics, Isolated systems, Spinors, Twistors},
pages = {107--111},
title = {Heaven and Its Properties},
volume = {7},
year = {1976}
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@incollection{newman80_asym_flat_spa_tim,
address = {New York},
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.},
keywords = {Asymptotics, Isolated systems, Spinors},
pages = {1--36},
publisher = {Plenum Press},
title = {Asymptotically flat space-times},
volume = {2},
year = {1980}
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@article{newman89_glob_struct_simp_spt,
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doi = {10.1007/BF01244016},
journal = {Commun. Math. Phys.},
keywords = {Asymptotics, Global methods, Topology},
pages = {17--52},
title = {The global structure of simple space-times},
volume = {123},
year = {1989}
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@article{penrose55_gen_inv_mat,
author = {Penrose, R.},
doi = {10.1017/S0305004100030401},
journal = {Proc. Cambridge Philos. Soc.},
keywords = {Numerical mathematics},
pages = {406--413},
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year = {1955}
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author = {Penrose, R.},
doi = {10.1016/0003-4916(60)90021-X},
journal = {Ann. Phys. (N.Y.)},
keywords = {Einstein equations, Spinors},
pages = {171--201},
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year = {1960}
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address = {Oxford},
author = {Penrose, R.},
booktitle = {Relativistic Theories of Gravitation},
conference = {Asymptotic structure, null infinity},
editor = {Infeld, L.},
keywords = {Asymptotics, Differential geometry, Isolated systems},
pages = {369--373},
publisher = {Pergamon Press},
title = {The light cone at infinity},
year = {1964}
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@article{penrose65_zero,
adsurl = {http://adsabs.harvard.edu/abs/1965RSPSA.284..159P},
author = {Penrose, R.},
doi = {10.1098/rspa.1965.0058},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotics, Differential geometry, Isolated systems, Spinors},
pages = {159--203},
title = {Zero Rest-Mass Fields Including Gravitation: Asymptotic Behaviour},
volume = {284},
year = {1965}
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@inproceedings{penrose74_relat_symm_groups,
address = {Dordrecht; Boston},
author = {Penrose, R.},
booktitle = {Group Theory in Non-Linear Problems},
conference = {Proceedings of the NATO Advanced Study Institute, held in Istanbul, Turkey, August 7\,--\,18, 1972},
editor = {Barut, A. O.},
keywords = {Asymptotics, Differential geometry, Isolated systems, Spinors, Twistors},
pages = {1--58},
publisher = {Reidel},
series = {NATO ASI Series C},
title = {Relativistic symmetry groups},
volume = {7},
year = {1974}
}
@article{penrose76_nonlin,
author = {Penrose, R.},
doi = {10.1007/BF00762011},
journal = {Gen. Relativ. Gravit.},
keywords = {Complex analysis, Einstein equations, Spinors, Twistors},
pages = {31--52},
title = {Nonlinear gravitons and curved twistor theory},
volume = {7},
year = {1976}
}
@article{penrose80_null,
author = {Penrose, R.},
journal = {Gen. Relativ. Gravit.},
keywords = {Initial value problem, Null surfaces, Spinors},
note = {originally published in Bergmann, P.G., Aerospace Research Laboratories Report, 63-56},
pages = {225--264},
title = {Null hypersurface initial data for classical fields of arbitrary spin and for general relativity},
volume = {12},
year = {1980}
}
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author = {Penrose, R.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Differential geometry, Einstein equations, Spinors, Twistors},
pages = {53--63},
title = {Quasi-local mass and angular momentum in general relativity},
volume = {381},
year = {1982}
}
@book{penrose84_spinor_spacet_i,
address = {Cambridge; New York},
author = {Penrose, R. and Rindler, W.},
gbs_id = {CzhhKkf1xJUC},
keywords = {Asymptotics, Differential geometry, Isolated systems, Spinors, Twistors},
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}
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address = {Cambridge; New York},
author = {Penrose, R. and Rindler, W.},
gbs_id = {fzgIuOozIb8C},
keywords = {Asymptotics, Differential geometry, Isolated systems, Spinors, Twistors},
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}
}
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author = {Penrose, R.},
doi = {10.1016/S0960-0779(98)00333-6},
journal = {Chaos Solitons Fractals},
keywords = {Differential geometry, Einstein equations, Spinors, Twistors},
pages = {581--611},
title = {The central programme of twistor theory},
volume = {10},
year = {1999}
}
@inproceedings{penrose99_remarks_twist_theor,
address = {New York},
author = {Penrose, R.},
booktitle = {On Einstein's Path: Essays in Honor of Engelbert Schucking},
conference = {Proceedings of a symposium, held at the New York University, 12\,--\,13 December, 1996},
editor = {Harvey, A.},
keywords = {Differential geometry, Einstein equations, Spinors, Twistors},
pages = {353--366},
publisher = {Springer},
title = {Some remarks on twistor theory},
year = {1999}
}
@inproceedings{penrose_struc,
address = {New York},
author = {Penrose, R.},
booktitle = {Battelle Rencontres: 1967 Lectures in Mathematics and Physics},
editor = {DeWitt, C. M. and Wheeler, J. A.},
keywords = {Asymptotics, Differential geometry, Isolated systems, Spinors},
pages = {121--235},
publisher = {W.A. Benjamin},
title = {Structure of space-time},
year = {1968}
}
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author = {Pirani, F. A. E.},
doi = {10.1103/PhysRev.105.1089},
journal = {Phys. Rev.},
keywords = {Differential geometry, Gravitational radiation},
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pages = {1089--1099},
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year = {1957}
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author = {Pirani, F. A. E.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Differential geometry, Gravitational radiation},
pages = {96--101},
title = {Gravitational waves in general relativity IV. The gravitational field of a fast-moving particle},
volume = {252},
year = {1959}
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author = {Rendall, A. D.},
cited = {19 December 1999},
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keywords = {Einstein equations, Existence theorems, Initial value problem, Null surfaces, Uniqueness theorems},
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url = {http://www.livingreviews.org/lrr-2000-1},
volume = {3},
year = {2000}
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author = {Robinson, D. C.},
doi = {10.1063/1.1665022},
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keywords = {Asymptotics, Isolated systems},
number = {9},
pages = {1745--1753},
title = {Conserved quantities of Newman and Penrose},
volume = {10},
year = {1969}
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@article{rosen37_plane,
author = {Rosen, N.},
journal = {Phys. Z. Sowjetunion},
keywords = {Einstein equations, Exact solutions, Gravitational radiation},
pages = {366--372},
title = {Plane polarised waves in the general theory of relativity},
volume = {12},
year = {1937}
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@article{sachs58_struc,
author = {Sachs, R. K. and Bergmann, P. G.},
doi = {10.1103/PhysRev.112.674},
journal = {Phys. Rev.},
keywords = {Einstein equations, Perturbation theory},
pages = {674--680},
title = {Structure of Particles in Linearized Gravitational Theory},
volume = {112},
year = {1958}
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@article{sachs60_propag_iii,
author = {Sachs, R. K.},
doi = {10.1007/BF01336743},
journal = {Z. Phys.},
keywords = {Differential geometry, Einstein equations, Gravitational radiation},
pages = {462--477},
title = {Propagation laws for null and type III gravitational waves},
volume = {157},
year = {1960}
}
@article{sachs61_gravit_vi,
author = {Sachs, R. K.},
doi = {10.1098/rspa.1961.0202},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotics, Einstein equations, Gravitational radiation, Isolated systems},
pages = {309--338},
title = {Gravitational waves in general relativity. VI. The outgoing radiation condition},
volume = {264},
year = {1961}
}
@article{sachs62_gravit_viii,
adsurl = {http://adsabs.harvard.edu/abs/1962RSPSA.270..103S},
author = {Sachs, R. K.},
doi = {10.1098/rspa.1962.0206},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Asymptotics, Einstein equations, Gravitational radiation, Isolated systems},
pages = {103--126},
title = {Gravitational Waves in General Relativity. VIII. Waves in Asymptotically Flat Space-Time},
volume = {270},
year = {1962}
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@article{sachs62_asymp,
adsurl = {http://adsabs.harvard.edu/abs/1962PhRv..128.2851S},
author = {Sachs, R. K.},
doi = {10.1103/PhysRev.128.2851},
journal = {Phys. Rev.},
keywords = {Asymptotics, Differential geometry, Mathematical physics},
pages = {2851--2864},
title = {Asymptotic Symmetries in Gravitational Theory},
volume = {128},
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@inproceedings{sachs64_charac,
address = {Oxford},
author = {Sachs, R. K.},
booktitle = {Relativistic Theories of Gravitation},
editor = {Infeld, L.},
keywords = {Asymptotics, Einstein equations, Gravitational radiation, Initial value problem, Isolated systems, Null surfaces},
pages = {93--105},
publisher = {Pergamon Press},
title = {Characteristic initial value problem for gravitational theory},
year = {1964}
}
@inproceedings{sachs64_gravit_rad,
address = {New York},
author = {Sachs, R. K.},
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. M. and DeWitt, B.},
keywords = {Asymptotics, Einstein equations, Gravitational radiation, Initial value problem, Isolated systems, Null surfaces},
pages = {523--562},
publisher = {Gordon and Breach},
title = {Gravitational radiation},
year = {1964}
}
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author = {Schmidt, B. G.},
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keywords = {Asymptotics, Differential geometry},
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volume = {36},
year = {1974}
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address = {New York},
author = {Schmidt, B. G.},
booktitle = {Asymptotic Structure of Space-Time},
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.},
keywords = {Asymptotics, Differential geometry},
pages = {429--440},
publisher = {Plenum Press},
title = {Conformal bundle boundaries},
year = {1977}
}
@inproceedings{schmidt78_asymp_struct_iso_sys,
address = {Amsterdam; New York},
author = {Schmidt, B. G.},
booktitle = {Isolated Gravitating Systems in General Relativity (Sistemi gravitazionali isolati in relativit\`a generale)},
conference = {Proceedings of the International School of Physics ``Enrico Fermi'', Course 67, Varenna on Lake Como, Villa Monastero, 28 June - 10 July 1976},
editor = {Ehlers, J.},
keywords = {Asymptotics, Einstein equations, Gravitational radiation, Isolated systems},
pages = {11--49},
publisher = {North-Holland},
title = {Asymptotic structure of isolated systems},
year = {1978}
}
@article{schmidt91_uniqueness,
author = {Schmidt, B. G.},
doi = {10.1088/0264-9381/8/8/014},
journal = {Class. Quantum Grav.},
keywords = {Asymptotics, Einstein equations, Isolated systems, Uniqueness theorems},
pages = {1491--1504},
title = {On the uniqueness of boundaries at infinity of asymptotically flat spacetimes},
volume = {8},
year = {1991}
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@article{schmidt96_vacuum,
author = {Schmidt, B. G.},
doi = {10.1088/0264-9381/13/10/017},
journal = {Class. Quantum Grav.},
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pages = {2811--2816},
title = {Vacuum spacetimes with toroidal null infinities},
volume = {13},
year = {1996}
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author = {Simon, W. and Beig, R.},
doi = {10.1063/1.525846},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Isolated systems, Uniqueness theorems},
pages = {1163--1171},
title = {The multipole structure of stationary space-times},
volume = {24},
year = {1983}
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@article{sommers78_space_like_infty,
adsurl = {http://adsabs.harvard.edu/abs/1978JMP....19..549S},
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doi = {10.1063/1.523698},
journal = {J. Math. Phys.},
keywords = {Asymptotics, Differential geometry, Isolated systems},
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title = {The geometry of the gravitational field at spacelike infinity},
volume = {19},
year = {1978}
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@article{streubel78_conserv_quant,
author = {Streubel, M.},
doi = {10.1007/BF00759549},
journal = {Gen. Relativ. Gravit.},
keywords = {Asymptotics, Differential geometry, Isolated systems, Spinors, Twistors},
pages = {551--561},
title = {`Conserved' quantities for isolated gravitational systems},
volume = {9},
year = {1978}
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author = {Trefethen, L. N.},
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keywords = {Numerical mathematics, Numerical methods},
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title = {Group velocity in finite difference schemes},
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year = {1982}
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@unpublished{trefethen_finit_differ_spect_method,
author = {Trefethen, L. N.},
format = {unknown},
keywords = {Numerical mathematics, Numerical methods},
note = {Graduate textbook, privately published},
title = {Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations},
year = {1996}
}
@book{wald84_gener_relat,
address = {Chicago},
adsurl = {http://adsabs.harvard.edu/abs/1984ucp..book.....W},
author = {Wald, R. M.},
gbs_id = {IdAwZ1ei1scC},
keywords = {General relativity},
publisher = {University of Chicago Press},
title = {General Relativity},
year = {1984}
}
@article{trautman58_bound_condit,
author = {Trautman, A.},
journal = {Bull. Acad. Polon. Sci. Cl. III},
keywords = {Asymptotics, Gravitational radiation, Isolated systems},
pages = {403--406},
title = {Boundary Conditions at infinity for physical theories},
volume = {6},
year = {1958}
}
@article{trautman58_radiat,
author = {Trautman, A.},
journal = {Bull. Acad. Polon. Sci. Cl. III},
keywords = {Asymptotics, Gravitational radiation, Isolated systems},
pages = {407--412},
title = {Radiation and boundary conditions in the theory of gravitation},
volume = {6},
year = {1958}
}
@incollection{winicour80_angul,
address = {New York},
author = {Winicour, J.},
booktitle = {General Relativity and Gravitation: One Hundred Years After the Birth of Albert Einstein},
editor = {Held, A.},
keywords = {Asymptotics, Differential geometry, Isolated systems},
pages = {71--96},
publisher = {Plenum Press},
title = {Angular momentum in general relativity},
volume = {2},
year = {1980}
}
@article{winicour85_logar,
author = {Winicour, J.},
doi = {10.1007/BF01882485},
journal = {Found. Phys.},
keywords = {Asymptotics, Differential geometry, Gravitational radiation, Isolated systems},
pages = {605--616},
title = {Logarithmic asymptotic flatness},
volume = {15},
year = {1985}
}