% $PublicationNumber:lrr-2011-7$
% $BibSchema:new$
@book{death:96,
address = {Oxford; New York},
author = {D'Eath, P.D.},
keywords = {Black holes, Matched asymptotic expansion},
publisher = {Clarendon Press; Oxford University Press},
title = {Black Holes: Gravitational Interactions},
year = {1996}
}
@book{friedlander:75,
address = {Cambridge; New York},
author = {Friedlander, F.G.},
gbs_id = {RDmpajLTw1oC},
keywords = {Wave equation},
publisher = {Cambridge University Press},
series = {Cambridge Monographs on Mathematical Physics},
title = {The wave equation on a curved space-time},
volume = {2},
year = {1975}
}
@book{hadamard:23,
address = {New Haven, CT},
author = {Hadamard, J.},
cited = {3 February 2011},
gbs_id = {B25O-x21uqkC},
keywords = {Partial differential equations, Wave equation},
onlineversion = {http://www.archive.org/details/lecturesoncauchy00hadauoft},
publisher = {Yale University Press},
title = {Lectures on Cauchy's Problem in Linear Partial Differential Equations},
year = {1923}
}
@book{jackson:99,
address = {New York},
author = {Jackson, J.D.},
edition = {3rd},
keywords = {Electromagnetic fields},
publisher = {Wiley},
title = {Classical Electrodynamics},
year = {1999}
}
@book{MTW:73,
address = {San Francisco},
author = {Misner, C.W. and Thorne, K.S. and Wheeler, J.A.},
keywords = {Gravitation},
publisher = {W.H. Freeman},
title = {Gravitation},
year = {1973}
}
@book{rohrlich:07,
address = {Singapore; Hackensack, NJ},
author = {Rohrlich, F.},
edition = {3rd},
gbs_id = {lJrPrP6L6tQC},
keywords = {Electromagnetic fields, Radiation reaction},
publisher = {World Scientific},
title = {Classical Charged Particles},
year = {2007}
}
@book{synge:60,
address = {Amsterdam},
author = {Synge, J.L.},
keywords = {Gravitation},
publisher = {North-Holland},
title = {Relativity: The General Theory},
year = {1960}
}
@article{alvi:00,
archiveprefix = {arXiv},
author = {Alvi, K.},
doi = {10.1103/PhysRevD.61.124013},
eprint = {gr-qc/9912113},
id = {124013},
journal = {Phys. Rev. D},
keywords = {Binary systems, Black holes, Matched asymptotic expansion, Post-Newtonian approximations},
pages = {1--19},
title = {Approximate binary-black-hole metric},
volume = {61},
year = {2000}
}
@article{barack:00,
archiveprefix = {arXiv},
author = {Barack, L.},
doi = {10.1103/PhysRevD.62.084027},
eprint = {gr-qc/0005042},
id = {084027},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Scalar fields, Self-force, Spherical symmetry},
pages = {1--21},
title = {Self-force on a scalar particle in spherically symmetric spacetime via mode-sum regularization: Radial trajectories},
volume = {62},
year = {2000}
}
@article{barack:01,
archiveprefix = {arXiv},
author = {Barack, L.},
doi = {10.1103/PhysRevD.64.084021},
eprint = {gr-qc/0105040},
id = {084021},
journal = {Phys. Rev. D},
keywords = {Gravitation, Radiation reaction, Self-force},
pages = {1--16},
title = {Gravitational self-force by mode sum regularization},
volume = {64},
year = {2001}
}
@article{barack-burko:00,
archiveprefix = {arXiv},
author = {Barack, L. and Burko, L.M.},
doi = {10.1103/PhysRevD.62.084040},
eprint = {gr-qc/0007033},
id = {084040},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Scalar fields, Self-force, Spherical symmetry},
pages = {1--5},
title = {Radiation-reaction force on a particle plunging into a black hole},
volume = {62},
year = {2000}
}
@article{barack-lousto:02,
archiveprefix = {arXiv},
author = {Barack, L. and Lousto, C.O.},
doi = {10.1103/PhysRevD.66.061502},
eprint = {gr-qc/0205043},
id = {061502},
journal = {Phys. Rev. D},
keywords = {Black holes, Gravitation, Radiation reaction, Schwarzschild solution, Self-force},
pages = {1--5},
title = {Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole},
volume = {66},
year = {2002}
}
@article{barack-etal:02,
archiveprefix = {arXiv},
author = {Barack, L. and Mino, Y. and Nakano, H. and Ori, A. and Sasaki, M.},
doi = {10.1103/PhysRevLett.88.091101},
eprint = {gr-qc/0111001},
id = {091101},
journal = {Phys. Rev. Lett.},
keywords = {Gravitation, Radiation reaction, Scalar fields, Schwarzschild solution, Self-force},
pages = {1--4},
title = {Calculating the Gravitational Self-Force in Schwarzschild Spacetime},
volume = {88},
year = {2002}
}
@article{barack-ori:01,
archiveprefix = {arXiv},
author = {Barack, L. and Ori, A.},
doi = {10.1103/PhysRevD.64.124003},
eprint = {gr-qc/0107056},
id = {124003},
journal = {Phys. Rev. D},
keywords = {Gauge conditions, Gravitation, Radiation reaction, Self-force},
pages = {1--13},
title = {Gravitational self-force and gauge transformations},
volume = {64},
year = {2001}
}
@article{barack-ori:00,
archiveprefix = {arXiv},
author = {Barack, L. and Ori, A.},
doi = {10.1103/PhysRevD.61.061502},
eprint = {gr-qc/9912010},
id = {061502},
journal = {Phys. Rev. D},
keywords = {Gravitation, Radiation reaction, Scalar fields, Self-force},
pages = {1--5},
title = {Mode sum regularization approach for the self-force in black hole spacetime},
volume = {61},
year = {2000}
}
@article{barack-ori:02,
archiveprefix = {arXiv},
author = {Barack, L. and Ori, A.},
doi = {10.1103/PhysRevD.66.084022},
eprint = {gr-qc/0204093},
id = {084022},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Scalar fields, Schwarzschild solution, Self-force},
pages = {1--15},
title = {Regularization parameters for the self-force in Schwarzschild spacetime: Scalar case},
volume = {66},
year = {2002}
}
@article{barack-ori:03a,
archiveprefix = {arXiv},
author = {Barack, L. and Ori, A.},
doi = {10.1103/PhysRevD.67.024029},
eprint = {gr-qc/0209072},
id = {024029},
journal = {Phys. Rev. D},
keywords = {Electromagnetic fields, Gravitation, Radiation reaction, Schwarzschild solution, Self-force},
pages = {1--11},
title = {Regularization parameters for the self-force in Schwarzschild spacetime. II. Gravitational and electromagnetic cases},
volume = {67},
year = {2003}
}
@article{barack-ori:03b,
archiveprefix = {arXiv},
author = {Barack, L. and Ori, A.},
doi = {10.1103/PhysRevLett.90.111101},
eprint = {gr-qc/0212103},
id = {111101},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Gravitation, Kerr solution, Radiation reaction, Self-force},
pages = {1--4},
title = {Gravitational Self-Force on a Particle Orbiting a Kerr Black Hole},
volume = {90},
year = {2003}
}
@article{burko:00b,
archiveprefix = {arXiv},
author = {Burko, L.M.},
doi = {10.1088/0264-9381/17/1/316},
eprint = {gr-qc/9911042},
journal = {Class. Quantum Grav.},
keywords = {Electromagnetic fields, Radiation reaction, Scalar fields, Schwarzschild solution, Self-force},
pages = {227--250},
title = {Self-force on static charges in Schwarzschild spacetime},
volume = {17},
year = {2000}
}
@article{burko:00c,
archiveprefix = {arXiv},
author = {Burko, L.M.},
doi = {10.1103/PhysRevLett.84.4529},
eprint = {gr-qc/0003074},
journal = {Phys. Rev. Lett.},
keywords = {Radiation reaction, Scalar fields, Schwarzschild solution, Self-force},
pages = {4529--4532},
title = {Self-Force on a Particle in Orbit around a Black Hole},
volume = {84},
year = {2000}
}
@article{burko-etal:02,
archiveprefix = {arXiv},
author = {Burko, L.M. and Harte, A.I. and Poisson, E.},
doi = {10.1103/PhysRevD.65.124006},
eprint = {gr-qc/0201020},
id = {124006},
journal = {Phys. Rev. D},
keywords = {Cosmological spacetimes, Radiation, Scalar fields},
pages = {1--11},
title = {Mass loss by a scalar charge in an expanding universe},
volume = {65},
year = {2002}
}
@article{burko-liu:01,
archiveprefix = {arXiv},
author = {Burko, L.M. and Liu, Y.T.},
doi = {10.1103/PhysRevD.64.024006},
eprint = {gr-qc/0103008},
id = {024006},
journal = {Phys. Rev. D},
keywords = {Kerr solution, Radiation reaction, Scalar fields, Self-force},
pages = {1--21},
title = {Self-force on a scalar charge in the spacetime of a stationary, axisymmetric black hole},
volume = {64},
year = {2001}
}
@article{burko-etal:01,
archiveprefix = {arXiv},
author = {Burko, L.M. and Liu, Y.T. and Soen, Y.},
eprint = {gr-qc/0008065},
id = {024015},
journal = {Phys. Rev. D},
keywords = {Electromagnetic fields, Radiation reaction, Scalar fields, Self-force, Spherical symmetry},
pages = {1--18},
title = {Self-force on charges in the spacetime of spherical shells},
volume = {63},
year = {2001}
}
@article{chrzanowski:75,
author = {Chrzanowski, P.L.},
doi = {10.1103/PhysRevD.11.2042},
journal = {Phys. Rev. D},
keywords = {Black holes, Perturbation theory},
pages = {2042--2062},
title = {Vector potential and metric perturbations of a rotating black hole},
volume = {11},
year = {1975}
}
@article{copson:28,
author = {Copson, E.T.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Electrostatics, Gravitational field, Hadamard expansion},
pages = {720--735},
title = {On Electrostatics in a Gravitational Field},
volume = {116},
year = {1928}
}
@article{detweiler-etal:03,
archiveprefix = {arXiv},
author = {Detweiler, S. and Messaritaki, E. and Whiting, B.F.},
doi = {10.1103/PhysRevD.67.104016},
eprint = {gr-qc/0205079},
id = {104016},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Scalar fields, Schwarzschild solution, Self-force},
numpages = {18},
title = {Self-force of a scalar field for circular orbits about a Schwarzschild black hole},
volume = {67},
year = {2003}
}
@article{detweiler-poisson:03,
archiveprefix = {arXiv},
author = {Detweiler, S. and Poisson, E.},
doi = {10.1103/PhysRevD.69.084019},
eprint = {gr-qc/0312010},
id = {084019},
journal = {Phys. Rev. D},
keywords = {Gravitation, Radiation reaction, Self-force},
title = {Low multipole contributions to the gravitational self-force},
volume = {69},
year = {2004}
}
@article{detweiler-whiting:03,
archiveprefix = {arXiv},
author = {Detweiler, S. and Whiting, B.F.},
doi = {10.1103/PhysRevD.67.024025},
eprint = {gr-qc/0202086},
id = {024025},
journal = {Phys. Rev. D},
keywords = {Electromagnetic fields, Gravitation, Green's functions, Radiation reaction, Scalar fields, Self-force},
title = {Self-force via a Green's function decomposition},
volume = {67},
year = {2003}
}
@article{dewitt-brehme:60,
author = {DeWitt, B.S. and Brehme, R.W.},
doi = {10.1016/0003-4916(60)90030-0},
journal = {Ann. Phys. (N.Y.)},
keywords = {Electromagnetic fields, Radiation reaction, Self-force},
pages = {220--259},
title = {Radiation Damping in a Gravitational Field},
volume = {9},
year = {1960}
}
@article{dewitt-dewitt:64,
author = {Morette-DeWitt, C. and DeWitt, B.S.},
journal = {Physics},
keywords = {Electromagnetic fields, Newtonian limit, Radiation reaction, Self-force},
pages = {3--20},
title = {Falling charges},
volume = {1},
year = {1964}
}
@article{dirac:38,
author = {Dirac, P.A.M.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Electromagnetic fields, Electrons, Radiation, Radiation reaction},
pages = {148},
title = {Classical theory of radiating electrons},
volume = {167},
year = {1938}
}
@article{flanagan-wald:96,
archiveprefix = {arXiv},
author = {Flanagan, {\'{E}}.{\'{E}}. and Wald, R.M.},
doi = {10.1103/PhysRevD.54.6233},
eprint = {gr-qc/9602052},
journal = {Phys. Rev. D},
keywords = {Quantum field theory in curved spacetime, Radiation reaction},
pages = {6233--6283},
title = {Does back reaction enforce the averaged null energy condition in semiclassical gravity?},
volume = {54},
year = {1996}
}
@article{hobbs:68,
author = {Hobbs, J.M.},
journal = {Ann. Phys. (N.Y.)},
keywords = {Electromagnetic fields, Radiation reaction, Self-force},
pages = {141--165},
title = {A Vierbein Formalism for Radiation Damping},
volume = {47},
year = {1968}
}
@article{kates:80a,
author = {Kates, R.E.},
doi = {10.1103/PhysRevD.22.1853},
journal = {Phys. Rev. D},
keywords = {Equations of motion, Matched asymptotic expansion},
pages = {1853--1870},
title = {Motion of a small body through an external field in general relativity calculated by matched asymptotic expansions},
volume = {22},
year = {1980}
}
@article{linet:76,
author = {Linet, B.},
doi = {10.1088/0305-4470/9/7/010},
journal = {J. Phys. A: Math. Gen.},
keywords = {Electrostatics, Magnetostatics, Schwarzschild solution},
pages = {1081--1087},
title = {Electrostatics and magnetostatics in Schwarzschild metric},
volume = {9},
year = {1976}
}
@article{lousto:00,
archiveprefix = {arXiv},
author = {Lousto, C.O.},
doi = {10.1103/PhysRevLett.84.5251},
eprint = {gr-qc/9912017},
journal = {Phys. Rev. Lett.},
keywords = {Binary systems, Black holes, Gravitation, Radiation reaction, Self-force},
pages = {5251--5254},
title = {Pragmatic Approach to Gravitational Radiation Reaction in Binary Black Holes},
volume = {84},
year = {2000}
}
@article{lousto-whiting:02,
archiveprefix = {arXiv},
author = {Lousto, C.O. and Whiting, B.F.},
doi = {10.1103/PhysRevD.66.024026},
eprint = {gr-qc/0203061},
id = {024026},
journal = {Phys. Rev. D},
keywords = {Black holes, Perturbation theory},
pages = {1--7},
title = {Reconstruction of black hole metric perturbations from the Weyl curvature},
volume = {66},
year = {2002}
}
@article{manasse-misner:63,
author = {Manasse, F.K. and Misner, C.W.},
doi = {10.1063/1.1724316},
journal = {J. Math. Phys.},
keywords = {Fermi coordinates},
pages = {735--745},
title = {Fermi normal coordinates and some basic concepts in differential geometry},
volume = {4},
year = {1963}
}
@article{mino:03,
archiveprefix = {arXiv},
author = {Mino, Y.},
doi = {10.1103/PhysRevD.67.084027},
eprint = {gr-qc/0302075},
id = {084027},
journal = {Phys. Rev. D},
keywords = {Black holes, Gravitation, Kerr solution, Radiation reaction, Self-force},
pages = {1--17},
title = {Perturbative approach to an orbital evolution around a supermassive black hole},
volume = {67},
year = {2003}
}
@article{mino-etal:03,
archiveprefix = {arXiv},
author = {Mino, Y. and Nakano, H. and Sasaki, M.},
eprint = {gr-qc/0111074},
journal = {Prog. Theor. Phys.},
keywords = {Electromagnetic fields, Gravitation, Radiation reaction, Scalar fields, Schwarzschild solution, Self-force},
pages = {1039--1064},
title = {Covariant Self-Force Regularization of a Particle Orbiting a Schwarzschild Black Hole -- Mode Decomposition Regularization},
volume = {108},
year = {2003}
}
@article{mino-etal:97a,
archiveprefix = {arXiv},
author = {Mino, Y. and Sasaki, M. and Tanaka, T.},
doi = {10.1103/PhysRevD.55.3457},
eprint = {gr-qc/9606018},
journal = {Phys. Rev. D},
keywords = {Gravitation, Matched asymptotic expansion, Radiation reaction, Self-force},
pages = {3457--3476},
title = {Gravitational radiation reaction to a particle motion},
volume = {55},
year = {1997}
}
@article{morette-ging:60,
author = {Morette-DeWitt, C. and Ging, J.L.},
journal = {C. R. Hebd. Seanc. Acad. Sci.},
keywords = {Gravitation, Radiation reaction, Self-force},
pages = {1868},
title = {Freinage d\^u \`a la radiation gravitationnelle},
volume = {251},
year = {1960}
}
@article{ori:03,
archiveprefix = {arXiv},
author = {Ori, A.},
doi = {10.1103/PhysRevD.67.124010},
eprint = {gr-qc/0207045},
id = {124010},
journal = {Phys. Rev. D},
keywords = {Black holes, Kerr solution, Perturbation theory},
pages = {1--19},
title = {Reconstruction of inhomogeneous metric perturbations and electromagnetic four-potential in Kerr spacetime},
volume = {67},
year = {2003}
}
@article{pfenning-poisson:02,
archiveprefix = {arXiv},
author = {Pfenning, M.J. and Poisson, E.},
doi = {10.1103/PhysRevD.65.084001},
eprint = {gr-qc/0012057},
id = {084001},
journal = {Phys. Rev. D},
keywords = {Electromagnetic fields, Gravitation, Post-Newtonian approximations, Radiation reaction, Scalar fields, Self-force},
pages = {1--30},
title = {Scalar, electromagnetic, and gravitational self-forces in weakly curved spacetimes},
volume = {65},
year = {2002}
}
@article{quinn:00,
archiveprefix = {arXiv},
author = {Quinn, T.C.},
doi = {10.1103/PhysRevD.62.064029},
eprint = {gr-qc/0005030},
id = {064029},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Scalar fields, Self-force},
pages = {1--9},
title = {Axiomatic approach to radiation reaction of scalar point particles in curved spacetime},
volume = {62},
year = {2000}
}
@article{quinn-wald:97,
archiveprefix = {arXiv},
author = {Quinn, T.C. and Wald, R.M.},
doi = {10.1103/PhysRevD.56.3381},
eprint = {gr-qc/9610053},
journal = {Phys. Rev. D},
keywords = {Electromagnetic fields, Gravitation, Radiation reaction, Self-force},
pages = {3381--3394},
title = {An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime},
volume = {56},
year = {1997}
}
@article{quinn-wald:99,
archiveprefix = {arXiv},
author = {Quinn, T.C. and Wald, R.M.},
doi = {10.1103/PhysRevD.60.064009},
eprint = {gr-qc/9903014},
id = {064009},
journal = {Phys. Rev. D},
keywords = {Conservation laws, Electromagnetic fields, Energy and momentum, Gravitation, Radiation reaction, Self-force},
pages = {1--20},
title = {Energy conservation for point particles undergoing radiation reaction},
volume = {60},
year = {1999}
}
@article{sciama-etal:69,
author = {Sciama, D.W. and Waylen, P.C. and Gilman, R.C.},
doi = {10.1103/PhysRev.187.1762},
journal = {Phys. Rev.},
keywords = {Einstein equations, Green's functions},
pages = {1762--1766},
title = {Generally Covariant Integral Formulation of Einstein's Field Equations},
volume = {187},
year = {1969}
}
@article{smith-will:80,
author = {Smith, A.G. and Will, C.M.},
doi = {10.1103/PhysRevD.22.1276},
journal = {Phys. Rev. D},
keywords = {Black holes, Electromagnetic fields, Radiation reaction, Schwarzschild solution, Self-force},
pages = {1276--1284},
title = {Force on a static charge outside a Schwarzschild black hole},
volume = {22},
year = {1980}
}
@article{teukolsky:73,
adsurl = {http://adsabs.harvard.edu/abs/1973ApJ...185..635T},
author = {Teukolsky, S.A.},
doi = {10.1086/152444},
journal = {Astrophys. J.},
keywords = {Black holes, Perturbation theory, Kerr solution},
pages = {635--647},
title = {Perturbations of a Rotating Black Hole. I. Fundamental Equations for Gravitational, Electromagnetic, and Neutrino-Field Perturbations},
volume = {185},
year = {1973}
}
@article{teitelboim-etal:80,
author = {Teitelboim, C. and Villarroel, D. and van Weert, C.G.},
doi = {10.1007/BF02895735},
journal = {Riv. Nuovo Cimento},
keywords = {Electromagnetic fields, Radiation reaction, Self-force},
pages = {9},
title = {Classical electrodynamics of retarded fields and point particles},
volume = {3},
year = {1980}
}
@article{thorne-hartle:85,
author = {Thorne, K.S. and Hartle, J.B.},
doi = {10.1103/PhysRevD.31.1815},
journal = {Phys. Rev. D},
keywords = {Black holes, Equations of motion, Matched asymptotic expansion},
pages = {1815--1837},
title = {Laws of motion and precession for black holes and other bodies},
volume = {31},
year = {1985}
}
@article{wald:78,
author = {Wald, R.M.},
doi = {10.1103/PhysRevLett.41.203},
journal = {Phys. Rev. Lett.},
keywords = {Black holes, Kerr solution, Perturbation theory},
pages = {203--206},
title = {Construction of Solutions of Gravitational, Electromagnetic, or Other Perturbation Equations from Solutions of Decoupled Equations},
volume = {41},
year = {1978}
}
@article{wiseman:00,
archiveprefix = {arXiv},
author = {Wiseman, A.G.},
doi = {10.1103/PhysRevD.61.084014},
eprint = {gr-qc/0001025},
id = {084014},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Scalar fields, Schwarzschild solution, Self-force},
pages = {1--14},
title = {Self-force on a static scalar test charge outside a Schwarzschild black hole},
volume = {61},
year = {2000}
}
@article{whiting:05,
author = {Whiting, B.F.},
doi = {10.1088/0264-9381/22/15/005},
journal = {Class. Quantum Grav.},
keywords = {Self-force},
pages = {S661--S679},
title = {Identifying the singular field for self-force evaluation},
volume = {22},
year = {2005}
}
@article{zhang:86,
author = {Zhang, X.-H.},
doi = {10.1103/PhysRevD.34.991},
journal = {Phys. Rev. D},
keywords = {Matched asymptotic expansion, Multipole expansions},
pages = {991--1004},
title = {Multipole expansions of the general-relativistic gravitational field of the external universe},
volume = {34},
year = {1986}
}
@preprint{flanagan-hinderer:10,
archiveprefix = {arXiv},
author = {Flanagan, {\'{E}}.{\'{E}}. and Hinderer, T.},
eprint = {1009.4923},
keywords = {Extreme mass-ratio inspirals, Self-force, Resonance},
primaryclass = {gr-qc},
title = {Transient resonances in the inspirals of point particles into black holes},
year = {2010}
}
@online{LISA,
cited = {2 April 2004},
format = {project homepage},
keywords = {Gravitational waves},
publisher = {Jet Propulsion Laboratory/NASA},
title = {LISA Home Page (NASA)},
url = {http://lisa.jpl.nasa.gov/}
}
@article{akcay:10,
archiveprefix = {arXiv},
author = {Akcay, S.},
doi = {10.1103/PhysRevD.83.124026},
eprint = {1012.5860},
id = {124026},
journal = {Phys. Rev. D},
keywords = {Self-force, Frequency domain, Circular orbits, Schwarzschild solution},
title = {Fast frequency-domain algorithm for gravitational self-force: Circular orbits in Schwarzschild spacetime},
volume = {83},
year = {2011}
}
@article{anderson-hu:04,
archiveprefix = {arXiv},
author = {Anderson, P.R. and Hu, B.L.},
doi = {10.1103/PhysRevD.69.064039},
eprint = {gr-qc/0308034},
id = {064039},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Self-force, Scalar fields, Hadamard expansion, WKB approximation},
title = {Radiation reaction in Schwarzschild spacetime: Retarded Green's function via Hadamard-WKB expansion},
volume = {69},
year = {2004}
}
@article{anderson-etal:05,
archiveprefix = {arXiv},
author = {Anderson, W.G. and Flanagan, {\'{E}}.{\'{E}}. and Ottewill, A.C.},
doi = {10.1103/PhysRevD.71.024036},
eprint = {gr-qc/0412009},
id = {024036},
journal = {Phys. Rev. D},
keywords = {Self-force, Quasi-local contribution},
title = {Quasilocal contribution to the gravitational self-force},
volume = {71},
year = {2005}
}
@article{anderson-wiseman:05,
archiveprefix = {arXiv},
author = {Anderson, W.G. and Wiseman, A.G.},
doi = {10.1088/0264-9381/22/15/010},
eprint = {gr-qc/0506136},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Matched asymptotic expansion},
pages = {S783--S800},
title = {A matched expansion approach to practical self-force calculations},
volume = {22},
year = {2005}
}
@article{anderson-etal:06,
archiveprefix = {arXiv},
author = {Anderson, P.R. and Eftekharzadeh, A. and Hu, B.L.},
doi = {10.1103/PhysRevD.73.064023},
eprint = {gr-qc/0507067},
id = {064023},
journal = {Phys. Rev. D},
keywords = {Radiation reaction, Self-force, Scalar fields, Hadamard expansion, WKB approximation, Infall},
title = {Self-force on a scalar charge in radial infall from rest using the Hadamard-WKB expansion},
volume = {73},
year = {2006}
}
@article{barack-sago:07,
archiveprefix = {arXiv},
author = {Barack, L. and Sago, N.},
doi = {10.1103/PhysRevD.75.064021},
eprint = {gr-qc/0701069},
id = {064021},
journal = {Phys. Rev. D},
keywords = {Self-force, Gravitational field, Circular orbits, Schwarzschild solution},
title = {Gravitational self-force on a particle in circular orbit around a Schwarzschild black hole},
volume = {75},
year = {2007}
}
@article{barack-golbourn:07,
archiveprefix = {arXiv},
author = {Barack, L. and Golbourn, D.A.},
doi = {10.1103/PhysRevD.76.044020},
eprint = {0705.3620},
id = {044020},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, 2+1 gravity},
title = {Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions},
volume = {76},
year = {2007}
}
@article{barack-etal:07,
archiveprefix = {arXiv},
author = {Barack, L. and Golbourn, D.A. and Sago, N.},
doi = {10.1103/PhysRevD.76.124036},
eprint = {0709.4588},
id = {124036},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, 2+1 gravity, Kerr metric},
title = {$m$-mode regularization scheme for the self-force in Kerr spacetime},
volume = {76},
year = {2007}
}
@article{barack:09,
archiveprefix = {arXiv},
author = {Barack, L.},
doi = {10.1088/0264-9381/26/21/213001},
eprint = {0902.0573},
id = {213001},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Gravitational field, Extreme mass-ratio inspirals},
title = {Gravitational self-force in extreme mass-ratio inspirals},
volume = {26},
year = {2009}
}
@article{barack-sago:09,
archiveprefix = {arXiv},
author = {Barack, L. and Sago, N.},
doi = {10.1103/PhysRevLett.102.191101},
eprint = {0902.0573},
id = {191101},
journal = {Phys. Rev. Lett.},
keywords = {Self-force, Gravitational field, Innermost stable circular orbits (ISCO), Schwarzschild solution},
title = {Gravitational Self-Force Correction to the Innermost Stable Circular Orbit of a Schwarzschild Black Hole},
volume = {102},
year = {2009}
}
@article{barack-sago:10,
archiveprefix = {arXiv},
author = {Barack, L. and Sago, N.},
doi = {10.1103/PhysRevD.81.084021},
eprint = {1002.2386},
id = {084021},
journal = {Phys. Rev. D},
keywords = {Self-force, Gravitational field, Eccentric orbits, Schwarzschild solution},
title = {Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole},
volume = {81},
year = {2010}
}
@article{barack-sago:11,
archiveprefix = {arXiv},
author = {Barack, L. and Sago, N.},
doi = {10.1103/PhysRevD.83.084023},
eprint = {1101.3331},
id = {084023},
journal = {Phys. Rev. D},
keywords = {Self-force, Conservative effects, Schwarzschild solution},
title = {Beyond the geodesic approximation: Conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole},
volume = {83},
year = {2011}
}
@article{barton-etal:08,
archiveprefix = {arXiv},
author = {Barton, J.L. and Lazar, D. and Kennefick, D.J. and Khanna, G. and Burko, L.M.},
eprint = {0804.1075},
id = {064042},
journal = {Phys. Rev. D},
keywords = {Frequency domain, Time domain, Extreme mass-ratio inspirals},
title = {Computational efficiency of frequency- and time-domain calculations of extreme mass-ratio binaries: Equatorial orbits},
volume = {78},
year = {2010}
}
@article{blanchet-etal:10a,
archiveprefix = {arXiv},
author = {Blanchet, L. and Detweiler, S. and Le Tiec, A. and Whiting, B.F.},
eprint = {0910.0207},
id = {064004},
journal = {Phys. Rev. D},
keywords = {Self-force, Schwarzschild solution, Post-Newtonian approximations, Circular orbits},
title = {Post-Newtonian and numerical calculations of the gravitational self-force for circular orbits in the Schwarzschild geometry},
volume = {81},
year = {2010}
}
@article{blanchet-etal:10b,
archiveprefix = {arXiv},
author = {Blanchet, L. and Detweiler, S. and Le Tiec, A. and Whiting, B.F.},
eprint = {1002.0726},
id = {084033},
journal = {Phys. Rev. D},
keywords = {Self-force, Schwarzschild solution, Post-Newtonian approximations, Circular orbits},
title = {High-order post-Newtonian fit of the gravitational self-force for circular orbits in the Schwarzschild geometry},
volume = {81},
year = {2010}
}
@article{burko-khanna:07,
archiveprefix = {arXiv},
author = {Burko, L. and Khanna, G.},
doi = {10.1209/0295-5075/78/60005},
eprint = {gr-qc/0609002},
id = {60005},
journal = {Europhys. Lett.},
keywords = {Teukolsky equation, Waveforms, Kerr black holes},
title = {Accurate time-domain gravitational waveforms for extreme-mass-ratio binaries},
volume = {78},
year = {2007}
}
@article{canizares-sopuerta:09,
archiveprefix = {arXiv},
author = {Canizares, P. and Sopuerta, C.F.},
eprint = {0903.0505},
id = {084020},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, Schwarzschild solution, Circular orbits, Pseudospectral methods},
title = {Efficient pseudospectral method for the computation of the self-force on a charged particle: Circular geodesics around a Schwarzschild black hole},
volume = {79},
year = {2009}
}
@article{canizares-etal:10,
archiveprefix = {arXiv},
author = {Canizares, P. and Sopuerta, C.F. and Jaramillo, J.L.},
doi = {10.1103/PhysRevD.82.044023},
eprint = {1006.3201},
id = {044023},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, Schwarzschild solution, Pseudospectral methods},
title = {Pseudospectral collocation methods for the computation of the self-force on a charged particle: Generic orbits around a Schwarzschild black hole},
volume = {82},
year = {2010}
}
@article{casals-etal:09a,
archiveprefix = {arXiv},
author = {Casals, M. and Dolan, S. and Ottewill, A.C. and Wardell, B.},
doi = {10.1103/PhysRevD.79.124043},
eprint = {0903.0395},
id = {124043},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, Static charge, Matched asymptotic expansion, Quasi-normal modes},
title = {Self-force calculations with matched expansions and quasinormal mode sums},
volume = {79},
year = {2009}
}
@article{casals-etal:09b,
archiveprefix = {arXiv},
author = {Casals, M. and Dolan, S. and Ottewill, A.C. and Wardell, B.},
doi = {10.1103/PhysRevD.79.124044},
eprint = {0903.5319},
id = {124044},
journal = {Phys. Rev. D},
keywords = {Green's functions, Spherical symmetry, Static charge},
title = {Pad\'e approximants of the Green function in spherically symmetric spacetimes},
volume = {79},
year = {2009}
}
@article{cohen-kegeles:74,
author = {Cohen, J.M. and Kegeles, L.S.},
doi = {10.1103/PhysRevD.10.1070},
journal = {Phys. Rev. D},
keywords = {Metric reconstruction, Electromagnetic fields, Newman-Penrose formalism, Hertz potential},
pages = {1070--1084},
title = {Electromagnetic fields in curved spaces: a constructive procedure},
volume = {10},
year = {1974}
}
@article{detweiler:05,
archiveprefix = {arXiv},
author = {Detweiler, S.},
doi = {10.1088/0264-9381/22/15/006},
eprint = {gr-qc/0501004},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Gravitational field, Matched asymptotic expansion},
pages = {681--716},
title = {Perspective on gravitational self-force analyses},
volume = {22},
year = {2005}
}
@article{detweiler:08,
archiveprefix = {arXiv},
author = {Detweiler, S.},
doi = {10.1103/PhysRevD.77.124026},
eprint = {gr-qc/0410011},
id = {124026},
journal = {Phys. Rev. D},
keywords = {Self-force, Gravitational field, Schwarzschild solution},
title = {Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry},
volume = {77},
year = {2008}
}
@article{diazrivera-etal:04,
archiveprefix = {arXiv},
author = {Diaz-Rivera, L.M. and Messaritaki, E. and Whiting, B.F. and Detweiler, S.},
doi = {10.1103/PhysRevD.70.124018},
eprint = {gr-qc/0410011},
id = {124018},
journal = {Phys. Rev. D},
keywords = {Scalar fields, Self-force, Schwarzschild solution},
title = {Scalar field self-force effects on orbits about a Schwarzschild black hole, eccentric orbits},
volume = {70},
year = {2004}
}
@article{dolan-barack:11,
archiveprefix = {arXiv},
author = {Dolan, S. and Barack, L.},
doi = {10.1103/PhysRevD.83.024019},
eprint = {1010.5255},
id = {124019},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, 2+1 gravity},
title = {Self-force via $m$-mode regularization and 2+1D evolution: Foundations and a scalar-field implementation on Schwarzschild spacetime},
volume = {83},
year = {2011}
}
@article{drasco-etal:05,
archiveprefix = {arXiv},
author = {Drasco, S. and Flanagan, {\'{E}}.{\'{E}}. and Hughes, S.A.},
doi = {10.1088/0264-9381/22/15/011},
eprint = {gr-qc/0505075},
journal = {Class. Quantum Grav.},
keywords = {Scalar fields, Self-force, Kerr metric, Adiabatic approximation},
pages = {S801--S846},
title = {Computing inspirals in Kerr in the adiabatic regime: I. The scalar case},
volume = {22},
year = {2005}
}
@article{drasco-hughes:06,
archiveprefix = {arXiv},
author = {Drasco, S. and Hughes, S.A.},
doi = {10.1103/PhysRevD.73.024027},
eprint = {gr-qc/0509101},
id = {024027},
journal = {Phys. Rev. D},
keywords = {Gravitational field, Self-force, Kerr metric, Adiabatic approximation, Gravitational waves},
title = {Gravitational wave snapshots of generic extreme mass ratio inspirals},
volume = {73},
year = {2006}
}
@article{field-etal:09,
archiveprefix = {arXiv},
author = {Field, S.E. and Hesthaven, J.S. and Lau, S.R.},
doi = {10.1088/0264-9381/26/16/165010},
eprint = {0902.1287},
id = {165010},
journal = {Class. Quantum Grav.},
keywords = {Waveforms, Schwarzschild solution},
title = {Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries},
volume = {26},
year = {2009}
}
@article{galtsov:82,
author = {Gal'tsov, D.V.},
doi = {10.1088/0305-4470/15/12/025},
journal = {J. Phys. A: Math. Gen.},
keywords = {Radiation reaction, Kerr metric},
pages = {3737--3749},
title = {Radiation reaction in the Kerr gravitational field},
volume = {15},
year = {1982}
}
@article{ganz-etal:07,
archiveprefix = {arXiv},
author = {Ganz, K. and Hikida, W. and Nakano, H. and Sago, N. and Tanaka, T.},
doi = {10.1143/PTP.117.1041},
eprint = {gr-qc/0702054},
journal = {Prog. Theor. Phys.},
keywords = {Radiation reaction, Gravitational field, Kerr metric, Adiabatic approximation, Inclined orbits},
pages = {1041--1066},
title = {Adiabatic evolution of three `constants' of motion for greatly inclined orbits in Kerr spacetime},
volume = {117},
year = {2007}
}
@article{haas-poisson:06,
archiveprefix = {arXiv},
author = {Haas, R. and Poisson, E.},
doi = {10.1103/PhysRevD.74.044009},
eprint = {gr-qc/0605077},
id = {004009},
journal = {Phys. Rev. D},
keywords = {Scalar fields, Self-force, Schwarzschild solution},
title = {Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field},
volume = {74},
year = {2006}
}
@article{haas:07,
archiveprefix = {arXiv},
author = {Haas, R.},
doi = {10.1103/PhysRevD.75.124011},
eprint = {0704.0797},
id = {124011},
journal = {Phys. Rev. D},
keywords = {Scalar fields, Self-force, Schwarzschild solution, Eccentric orbits, Time domain},
title = {Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation},
volume = {75},
year = {2007}
}
@article{hughes:00,
archiveprefix = {arXiv},
author = {Hughes, S.},
doi = {10.1103/PhysRevD.61.084004},
eprint = {gr-qc/9910091},
id = {084004},
journal = {Phys. Rev. D},
keywords = {Adiabatic approximation, Circular orbits, Kerr black holes, Gravitational waves},
title = {Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission},
volume = {61},
year = {2000}
}
@article{hughes-etal:05,
archiveprefix = {arXiv},
author = {Hughes, S. and Drasco, S. and Flanagan, {\'{E}}.{\'{E}}. and Franklin, J.},
doi = {10.1103/PhysRevLett.94.221101},
eprint = {gr-qc/0504015},
id = {221101},
journal = {Phys. Rev. Lett.},
keywords = {Radiation reaction, Adiabatic approximation, Gravitational waves},
title = {Gravitational radiation reaction and inspiral waveforms in the adiabatic limit},
volume = {94},
year = {2005}
}
@article{kegeles-cohen:79,
author = {Kegeles, L.S. and Cohen, J.M.},
doi = {10.1103/PhysRevD.19.1641},
journal = {Phys. Rev. D},
keywords = {Metric reconstruction, Metric perturbations, Newman-Penrose formalism, Hertz potential},
pages = {1641--1664},
title = {Constructive procedure for perturbations of spacetimes},
volume = {19},
year = {1979}
}
@article{keidl-etal:06,
archiveprefix = {arXiv},
author = {Keidl, T.S. and Friedman, J.L. and Wiseman, A.G.},
eprint = {gr-qc/0611072},
id = {124009},
journal = {Phys. Rev. D},
keywords = {Self-force, Electromagnetic fields, Gravitational field, Schwarzschild solution, Static charge, Radiation gauge},
title = {Finding fields and self-force in a gauge appropriate to separable wave equations},
volume = {75},
year = {2006}
}
@article{khanna:04,
archiveprefix = {arXiv},
author = {Khanna, G.},
eprint = {gr-qc/0309107},
id = {024016},
journal = {Phys. Rev. D},
keywords = {Teukolsky equation, Inclined orbits, Kerr black holes, Waveforms},
title = {Teukolsky evolution of particle orbits around Kerr black holes in the time domain: Elliptic and inclined orbits},
volume = {69},
year = {2006}
}
@article{lopez-aleman-etal:03,
archiveprefix = {arXiv},
author = {Lopez-Aleman, R. and Khanna, G. and Pullin, J.},
doi = {10.1088/0264-9381/20/14/320},
eprint = {gr-qc/0303054},
journal = {Class. Quantum Grav.},
keywords = {Teukolsky equation, Waveforms, Kerr black holes},
pages = {3259--3268},
title = {Perturbative evolution of particle orbits around Kerr black holes: time domain calculation},
volume = {20},
year = {2003}
}
@article{lousto-nakano:08,
archiveprefix = {arXiv},
author = {Lousto, C.O. and Nakano, H.},
doi = {10.1088/0264-9381/25/14/145018},
eprint = {0802.4277},
id = {145018},
journal = {Class. Quantum Grav.},
keywords = {Dirac delta function, Scalar fields, Klein-Gordon equation, 2+1 gravity},
title = {A new method to integrate (2+1)-wave equations with Dirac's delta functions as sources},
volume = {25},
year = {2008}
}
@article{lousto-price:97,
archiveprefix = {arXiv},
author = {Lousto, C.O. and Price, R.H.},
doi = {10.1103/PhysRevD.56.6439},
eprint = {gr-qc/9705071},
journal = {Phys. Rev. D},
keywords = {Black hole collisions, Point-particle limit, Waveforms, Metric perturbations, Schwarzschild solution},
pages = {6439--6457},
title = {Understanding initial data for black hole collisions},
volume = {56},
year = {1997}
}
@article{martel-poisson:02,
archiveprefix = {arXiv},
author = {Martel, K. and Poisson, E.},
doi = {10.1103/PhysRevD.66.084001},
eprint = {gr-qc/0107104},
id = {084001},
journal = {Phys. Rev. D},
keywords = {Black hole collisions, Point-particle limit, Waveforms, Metric perturbations, Schwarzschild solution},
title = {One-parameter family of time-symmetric initial data for the radial infall of a particle into a Schwarzschild black hole},
volume = {66},
year = {2002}
}
@article{mino:06,
archiveprefix = {arXiv},
author = {Mino, Y.},
doi = {10.1143/PTP.115.43},
eprint = {gr-qc/0601019},
journal = {Prog. Theor. Phys.},
keywords = {Self-force, Radiation reaction, Adiabatic approximation, Radiation gauge},
pages = {43--61},
title = {Adiabatic expansion for a metric perturbation and the condition to solve the gauge problem for gravitational radiation reaction problem},
volume = {115},
year = {2006}
}
@article{mino:05,
archiveprefix = {arXiv},
author = {Mino, Y.},
eprint = {gr-qc/0506003},
journal = {Prog. Theor. Phys.},
keywords = {Self-force, Radiation reaction, Adiabatic approximation},
pages = {733--761},
title = {Self-force in the radiation reaction formula -- adiabatic approximation of a metric perturbation and an orbit},
volume = {113},
year = {2005}
}
@article{mino-price:08,
archiveprefix = {arXiv},
author = {Mino, Y. and Price, R.},
doi = {10.1103/PhysRevD.77.064001},
eprint = {0801.0179},
id = {064001},
journal = {Phys. Rev. D},
keywords = {Two-time scale expansion, Adiabatic approximation, Scalar fields},
title = {Two-timescale adiabatic expansion of a scalar field model},
volume = {77},
year = {2008}
}
@article{peters-mathews:63,
author = {Peters, P.C. and Mathews, J.},
doi = {10.1103/PhysRev.131.435},
journal = {Phys. Rev.},
keywords = {Gravitational radiation},
pages = {435--440},
title = {Gravitational radiation from point masses in a Keplerian orbit},
volume = {131},
year = {1963}
}
@article{peters:64,
author = {Peters, P.C.},
doi = {10.1103/PhysRev.136.B1224},
journal = {Phys. Rev.},
keywords = {Gravitational radiation},
pages = {B1224--B1232},
title = {Gravitational radiation and the motion of two point masses},
volume = {136},
year = {1964}
}
@article{pound-etal:05,
archiveprefix = {arXiv},
author = {Pound, A. and Poisson, E. and Nickel, B.G.},
doi = {10.1103/PhysRevD.72.124001},
eprint = {gr-qc/0509122},
id = {124001},
journal = {Phys. Rev. D},
keywords = {Self-force, Adiabatic approximation},
title = {Limitations of the adiabatic approximation to the gravitational self-force},
volume = {72},
year = {2005}
}
@article{pound-poisson:08a,
archiveprefix = {arXiv},
author = {Pound, A. and Poisson, E.},
doi = {10.1103/PhysRevD.77.044012},
eprint = {0708.3037},
id = {044012},
journal = {Phys. Rev. D},
keywords = {Self-force, Electromagnetic fields, Gravitational field},
title = {Multi-scale analysis of the electromagnetic self-force in a weak gravitational field},
volume = {77},
year = {2008}
}
@article{pound-poisson:08b,
archiveprefix = {arXiv},
author = {Pound, A. and Poisson, E.},
doi = {10.1103/PhysRevD.77.044013},
eprint = {0708.3033},
id = {044013},
journal = {Phys. Rev. D},
keywords = {Self-force, Schwarzschild solution, Extreme mass-ratio inspirals},
title = {Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals},
volume = {77},
year = {2008}
}
@article{pound:10a,
archiveprefix = {arXiv},
author = {Pound, A.},
doi = {10.1103/PhysRevD.81.024023},
eprint = {0907.5197},
id = {024023},
journal = {Phys. Rev. D},
keywords = {Self-force, Self consistent fields, Gravitational field},
title = {Self-consistent gravitational self-force},
volume = {81},
year = {2010}
}
@article{pound:10b,
archiveprefix = {arXiv},
author = {Pound, A.},
doi = {10.1103/PhysRevD.81.124009},
eprint = {1003.3954},
id = {124009},
journal = {Phys. Rev. D},
keywords = {Self-force, Perturbation methods, Gravitational field},
title = {Singular perturbation techniques in the gravitational self-force problem},
volume = {81},
year = {2010}
}
@article{ori-thorne:00,
archiveprefix = {arXiv},
author = {Ori, A. and Thorne, K.S.},
doi = {10.1103/PhysRevD.62.124022},
eprint = {gr-qc/0003032},
id = {124022},
journal = {Phys. Rev. D},
keywords = {Adiabatic approximation, Kerr black holes, Circular orbits},
title = {Transition from inspiral to plunge for a compact body in a circular equatorial orbit around a massive, spinning black hole},
volume = {62},
year = {2000}
}
@article{ottewill-wardell:08,
archiveprefix = {arXiv},
author = {Ottewill, A.C. and Wardell, B.},
doi = {10.1103/PhysRevD.77.104002},
eprint = {0711.2469},
id = {104002},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, Quasi-local contribution, Geodesics},
title = {Quasilocal contribution to the scalar self-force: Geodesic motion},
volume = {77},
year = {2008}
}
@article{ottewill-wardell:09,
archiveprefix = {arXiv},
author = {Ottewill, A.C. and Wardell, B.},
doi = {10.1103/PhysRevD.79.024031},
eprint = {0810.1961},
id = {024031},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, Quasi-local contribution},
title = {Quasilocal contribution to the scalar self-force: Nongeodesic motion},
volume = {79},
year = {2009}
}
@article{decanini-folacci:06,
archiveprefix = {arXiv},
author = {D\'ecanini, Y. and Folacci, A.},
doi = {10.1103/PhysRevD.73.044027},
eprint = {gr-qc/0511115},
id = {044027},
journal = {Phys. Rev. D},
keywords = {Hadamard expansion, Green's functions},
pages = {1--38},
title = {Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator},
volume = {73},
year = {2006}
}
@article{whiting-price:05,
author = {Whiting, B.F. and Price, L.P.},
doi = {10.1088/0264-9381/22/15/003},
journal = {Class. Quantum Grav.},
keywords = {Metric reconstruction, Weyl scalar},
pages = {S589--S604},
title = {Metric reconstruction from Weyl scalars},
volume = {22},
year = {2005}
}
@article{sago-etal:05,
archiveprefix = {arXiv},
author = {Sago, N. and Tanaka, T. and Hikida, W. and Nakano, H.},
doi = {10.1143/PTP.114.509},
eprint = {gr-qc/0506092},
journal = {Prog. Theor. Phys.},
keywords = {Radiation reaction, Gravitational field, Kerr metric, Adiabatic approximation},
pages = {509--514},
title = {Adiabatic radiation reaction to orbits in Kerr spacetime},
volume = {114},
year = {2005}
}
@article{sago-etal:06,
archiveprefix = {arXiv},
author = {Sago, N. and Tanaka, T. and Hikida, W. and Ganz, K. and Nakano, H.},
doi = {10.1143/PTP.115.873},
eprint = {gr-qc/0511151},
journal = {Prog. Theor. Phys.},
keywords = {Radiation reaction, Gravitational field, Kerr metric, Adiabatic approximation},
pages = {873--907},
title = {Adiabatic evolution of orbital parameters in the Kerr spacetime},
volume = {115},
year = {2006}
}
@article{sago-etal:08,
archiveprefix = {arXiv},
author = {Sago, N. and Barack, L. and Detweiler, S.},
doi = {10.1103/PhysRevD.78.124024},
eprint = {0810.2530},
id = {124024},
journal = {Phys. Rev. D},
keywords = {Self-force, Gravitational field, Schwarzschild solution},
title = {Two approaches for the gravitational self force in black hole spacetime: Comparison of numerical results},
volume = {78},
year = {2008}
}
@article{shankar-whiting:07,
archiveprefix = {arXiv},
author = {Shankar, K. and Whiting, B.F.},
doi = {10.1103/PhysRevD.76.124027},
eprint = {0707.0042},
id = {124027},
journal = {Phys. Rev. D},
keywords = {Self-force, Electric fields, Static charge, Schwarzschild solution},
title = {Self-force of a static electric charge near a Schwarzschild star},
volume = {76},
year = {2007}
}
@article{stewart:79,
author = {Stewart, J.M.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Metric reconstruction, Metric perturbations, Newman-Penrose formalism, Hertz potential},
pages = {527--538},
title = {Hertz--Bromwich--Debye--Whittaker--Penrose potentials in general relativity},
volume = {367},
year = {1979}
}
@article{sundararajan-etal:07,
archiveprefix = {arXiv},
author = {Sundararajan, P. and Khanna, G. and Hughes, S.A.},
doi = {10.1103/PhysRevD.76.104005},
eprint = {gr-qc/0703028},
id = {104005},
journal = {Phys. Rev. D},
keywords = {Adiabatic approximation, Waveforms, Kerr black holes, Time domain, Teukolsky equation},
title = {Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation},
volume = {76},
year = {2007}
}
@article{sundararajan:08,
archiveprefix = {arXiv},
author = {Sundararajan, P.},
doi = {10.1103/PhysRevD.77.124050},
eprint = {0803.4482},
id = {124050},
journal = {Phys. Rev. D},
keywords = {Adiabatic approximation, Inclined orbits, Eccentric orbits, Kerr black holes, Teukolsky equation},
title = {Transition from adiabatic inspiral to geodesic plunge for a compact object around a massive Kerr black hole: Generic orbits},
volume = {77},
year = {2008}
}
@article{vega-detweiler:08,
archiveprefix = {arXiv},
author = {Vega, I. and Detweiler, S.},
doi = {10.1103/PhysRevD.77.084008},
eprint = {0712.4405},
id = {084008},
journal = {Phys. Rev. D},
keywords = {Scalar fields, Self-force, Schwarzschild solution, Time domain},
title = {Regularization of fields for self-force problems in curved spacetime: Foundations and a time-domain application},
volume = {77},
year = {2008}
}
@article{vega-etal:09,
archiveprefix = {arXiv},
author = {Vega, I. and Diener, P. and Tichy, W. and Detweiler, S.},
doi = {10.1103/PhysRevD.80.084021},
eprint = {0908.2138},
id = {084021},
journal = {Phys. Rev. D},
keywords = {Scalar fields, Self-force, Schwarzschild solution, Numerical relativity, Pseudospectral methods},
title = {Self-force with (3+1) codes: a primer for numerical relativists},
volume = {80},
year = {2009}
}
@article{warburton-barack:10,
archiveprefix = {arXiv},
author = {Warburton, N. and Barack, L.},
doi = {10.1103/PhysRevD.81.084039},
eprint = {1003.1860},
id = {084039},
journal = {Phys. Rev. D},
keywords = {Self-force, Scalar fields, Circular orbits, Kerr metric},
title = {Self-force on a scalar charge in Kerr spacetime: Circular equatorial orbits},
volume = {81},
year = {2010}
}
@book{cqg-collection,
address = {Bristol},
editor = {Lousto, C.O.},
keywords = {Self-force},
publisher = {IOP Publishing},
series = {Class. Quantum Grav.},
title = {Gravitational Radiation from Binary Black Holes: Advances in the Perturbative Approach},
volume = {22},
year = {2005}
}
@article{barack-etal:10,
archiveprefix = {arXiv},
author = {Barack, L. and Damour, T. and Sago, N.},
doi = {10.1103/PhysRevD.82.084036},
eprint = {1008.0935},
id = {084036},
journal = {Phys. Rev. D},
keywords = {Self-force, Schwarzschild solution, Effective one-body formalism},
title = {Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism},
volume = {82},
year = {2010}
}
@article{damour:10,
archiveprefix = {arXiv},
author = {Damour, T.},
doi = {10.1103/PhysRevD.81.024017},
eprint = {0910.5533},
id = {024017},
journal = {Phys. Rev. D},
keywords = {Self-force, Schwarzschild solution, Effective one-body formalism},
title = {Gravitational self-force in a Schwarzschild background and the effective one-body formalism},
volume = {81},
year = {2010}
}
@article{field-etal:10,
archiveprefix = {arXiv},
author = {Field, S.E. and Hesthaven, J.S. and Lau, S.R.},
doi = {10.1103/PhysRevD.81.124030},
eprint = {1001.2578},
id = {124030},
journal = {Phys. Rev. D},
keywords = {Gravitational waves, Extreme mass-ratio inspirals, Spectral methods},
title = {Persistent junk solutions in time-domain modeling of extreme mass ratio binaries},
volume = {81},
year = {2010}
}
@article{keidl-etal:10,
archiveprefix = {arXiv},
author = {Keidl, T.S. and Shah, A.G. and Friedman, J.L. and Kim, D.H. and Price, L.R.},
doi = {10.1103/PhysRevD.82.124012},
eprint = {1004.2276},
id = {124012},
journal = {Phys. Rev. D},
keywords = {Self-force, Radiation gauge},
title = {Gravitational self-force in a radiation gauge},
volume = {82},
year = {2010}
}
@unpublished{gralla:09,
author = {Gralla, S.E.},
conference = {Presentation at the 12th Capra Meeting on Radiation Reaction},
format = {conference paper},
keywords = {Self-force},
title = {Comments on First and Second Order Gravitational Self-Force},
year = {2009}
}
@book{eckhaus:79,
address = {Amsterdam; New York},
author = {Eckhaus, W.},
gbs_id = {IiF_Br4e40UC},
keywords = {Matched asymptotic expansion},
publisher = {North-Holland},
series = {Studies in Mathematics and its Applications},
title = {Asymptotic Analysis of Singular Perturbations},
volume = {9},
year = {1979}
}
@book{holmes:95,
address = {Berlin; New York},
author = {Holmes, M.H.},
gbs_id = {-jSsvzJa_XMC},
keywords = {Matched asymptotic expansion, Multiscale expansions},
publisher = {Springer},
series = {Texts in Applied Mathematics},
title = {Introduction to Perturbation Methods},
volume = {20},
year = {1995}
}
@book{kevorkian-cole:96,
address = {New York},
author = {Kevorkian, J. and Cole, J.D.},
gbs_id = {NQWlB9myvtoC},
keywords = {Matched asymptotic expansion, Multiscale expansions},
publisher = {Springer},
series = {Applied Mathematical Sciences},
title = {Multiple Scale and Singular Perturbation Methods},
volume = {114},
year = {1996}
}
@book{lagerstrom:88,
address = {New York},
author = {Lagerstrom, P.A.},
keywords = {Matched asymptotic expansion},
publisher = {Springer},
series = {Applied Mathematical Sciences},
title = {Matched Asymptotic Expansions: Ideas and Techniques},
volume = {76},
year = {1988}
}
@book{roach:82,
address = {Cambridge; New York},
author = {Roach, G.F.},
edition = {2nd},
gbs_id = {VLna4D1v_voC},
keywords = {Green's functions},
publisher = {Cambridge University Press},
title = {Green's Functions},
year = {1982}
}
@book{verhulst:05,
address = {New York},
author = {Verhulst, F.},
gbs_id = {Wv3tPkVsfy8C},
keywords = {Matched asymptotic expansion, Multiscale expansions},
publisher = {Springer},
series = {Texts in Applied Mathematics},
title = {Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics},
volume = {50},
year = {2005}
}
@article{burko:01,
author = {Burko, L.M.},
doi = {10.1142/S0217751X01003639},
journal = {Int. J. Mod. Phys. A},
keywords = {Self-force, Conservative effects},
pages = {1471--1479},
title = {The importance of conservative self forces for binaries undergoing radiation damping},
volume = {16},
year = {2001}
}
@article{blanchet-damour:86,
author = {Blanchet, L. and Damour, T.},
journal = {Philos. Trans. R. Soc. London, Ser. A},
keywords = {Multipole expansions},
pages = {379--430},
title = {Radiative gravitational fields in general relativity I. General structure of the field outside the source},
volume = {320},
year = {1986}
}
@article{damour-iyer:91,
author = {Damour, T. and Iyer, B.R.},
doi = {10.1103/PhysRevD.43.3259},
journal = {Phys. Rev. D},
keywords = {Multipole expansions},
pages = {3259--3272},
title = {Multipole analysis for electromagnetism and linearized gravity with irreducible Cartesian tensors},
volume = {43},
year = {1991}
}
@article{death:75,
author = {D'Eath, P.D.},
doi = {10.1103/PhysRevD.11.1387},
journal = {Phys. Rev. D},
keywords = {Matched asymptotic expansion},
pages = {1387--1403},
title = {Dynamics of a small black hole in a background universe},
volume = {11},
year = {1975}
}
@article{dixon:70a,
author = {Dixon, W.G.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Extended bodies, Definitions of momentum},
pages = {499--527},
title = {Dynamics of extended bodies in general relativity. I. Momentum and angular momentum},
volume = {314},
year = {1970}
}
@article{dixon:70b,
author = {Dixon, W.G.},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Extended bodies, Definitions of momentum},
pages = {509--547},
title = {Dynamics of extended bodies in general relativity. II. Moments of the charge-current vector},
volume = {319},
year = {1970}
}
@article{dixon:74,
author = {Dixon, W.G.},
journal = {Philos. Trans. R. Soc. London, Ser. A},
keywords = {Extended bodies, Equations of motion},
pages = {59--119},
title = {Dynamics of Extended Bodies in General Relativity. III. Equations of Motion},
volume = {277},
year = {1974}
}
@article{ehlers-rudolph:77,
author = {Ehlers, J. and Rudolph, E.},
doi = {10.1007/BF00763547},
journal = {Gen. Relativ. Gravit.},
keywords = {Extended bodies, Center of mass},
pages = {197--217},
title = {Dynamics of extended bodies in general relativity center-of-mass description and quasirigidity},
volume = {8},
year = {1977}
}
@article{einstein-infeld:49,
author = {Einstein, A. and Infeld, L.},
doi = {10.4153/CJM-1949-020-8},
journal = {Can. J. Math.},
keywords = {Equations of motion, Center of mass},
pages = {209},
title = {On the motion of particles in general relativity theory},
volume = {1},
year = {1949}
}
@article{fukumoto-etal:06,
archiveprefix = {arXiv},
author = {Fukumoto, T. and Futamase, T. and Itoh, Y.},
doi = {10.1143/PTP.116.423},
eprint = {gr-qc/0606114},
journal = {Prog. Theor. Phys.},
keywords = {Self-force, Extended bodies},
pages = {423--428},
title = {On the equation of motion for a fast moving small object using the strong field point particle limit},
volume = {116},
year = {2006}
}
@article{futamase-itoh:07,
author = {Futamase, T. and Itoh, Y.},
cited = {25 August 2010},
id = {lrr-2007-2},
journal = {Living Rev. Relativity},
keywords = {Post-Newtonian approximations, Self-force, Extended bodies, Point-particle limit},
title = {The Post-Newtonian Approximation for Relativistic Compact Binaries},
url = {http://www.livingreviews.org/lrr-2007-2},
volume = {10},
year = {2007}
}
@article{futamase-etal:08,
archiveprefix = {arXiv},
author = {Futamase, T. and Hogan, P.A. and Itoh, Y.},
eprint = {0811.4020},
id = {104014},
journal = {Phys. Rev. D},
keywords = {Self-force, Charged black holes},
title = {Equations of Motion in General Relativity of a Small Charged Black Hole},
volume = {78},
year = {2008}
}
@article{huerta-gair:09,
archiveprefix = {arXiv},
author = {Huerta, E.A. and Gair, J.R.},
doi = {10.1103/PhysRevD.79.084021},
eprint = {0812.4208},
id = {084021},
journal = {Phys. Rev. D},
keywords = {Extreme mass-ratio inspirals, Conservative effects},
title = {Influence of conservative corrections on parameter estimation for EMRIs},
volume = {79},
year = {2009}
}
@article{galley-etal:06,
archiveprefix = {arXiv},
author = {Galley, C.R. and Hu, B.L. and Lin, S.-Y.},
doi = {10.1103/PhysRevD.74.024017},
eprint = {gr-qc/0603099},
id = {024017},
journal = {Phys. Rev. D},
keywords = {Self-force, Quantum field theory},
title = {Electromagnetic and gravitational self-force on a relativistic particle from quantum fields in curved space},
volume = {74},
year = {2006}
}
@article{galley-hu:09,
archiveprefix = {arXiv},
author = {Galley, C.R. and Hu, B.L.},
doi = {10.1103/PhysRevD.79.064002},
eprint = {0801.0900},
id = {064002},
journal = {Phys. Rev. D},
keywords = {Self-force, Effective field theory},
title = {Self-force on extreme mass ratio inspirals via curved spacetime effective field theory},
volume = {79},
year = {2009}
}
@article{geroch-jang:75,
author = {Geroch, R. and Jang, P.S.},
doi = {10.1063/1.522416},
journal = {J. Math. Phys.},
keywords = {Point-particle limit, Geodesic equation},
pages = {65--67},
title = {Motion of a body in general relativity},
volume = {16},
year = {1975}
}
@article{geroch-traschen:87,
author = {Geroch, R. and Traschen, J.},
doi = {10.1103/PhysRevD.36.1017},
journal = {Phys. Rev. D},
keywords = {Point-particle limit},
pages = {1017--1031},
title = {Strings and other distributional sources in general relativity},
volume = {36},
year = {1987}
}
@article{gralla-wald:08,
archiveprefix = {arXiv},
author = {Gralla, S.E. and Wald, R.M.},
doi = {10.1088/0264-9381/25/20/205009},
eprint = {0806.3293},
id = {205009},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Matched asymptotic expansion},
title = {A Rigorous Derivation of Gravitational Self-force},
volume = {25},
year = {2008}
}
@article{gralla-etal:09,
archiveprefix = {arXiv},
author = {Gralla, S.E. and Harte, A.I. and Wald, R.M.},
doi = {10.1103/PhysRevD.80.024031},
eprint = {0905.2391},
id = {024031},
journal = {Phys. Rev. D},
keywords = {Self-force, Matched asymptotic expansion},
title = {A Rigorous Derivation of Electromagnetic Self-force},
volume = {80},
year = {2009}
}
@article{harte:08,
archiveprefix = {arXiv},
author = {Harte, A.I.},
doi = {10.1088/0264-9381/25/23/235020},
eprint = {0807.1150},
id = {235020},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Extended bodies, Definitions of momentum},
title = {Self-forces from generalized Killing fields},
volume = {25},
year = {2008}
}
@article{harte:09a,
archiveprefix = {arXiv},
author = {Harte, A.I.},
doi = {10.1088/0264-9381/26/15/155015},
eprint = {0903.0167},
id = {155015},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Extended bodies, Definitions of momentum},
title = {Electromagnetic self-forces and generalized Killing fields},
volume = {26},
year = {2009}
}
@article{harte:09b,
archiveprefix = {arXiv},
author = {Harte, A.I.},
doi = {10.1088/0264-9381/27/13/135002},
eprint = {0910.4614},
id = {135002},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Extended bodies, Definitions of momentum},
title = {Effective stress-energy tensors, self-force, and broken symmetry},
volume = {27},
year = {2010}
}
@article{havas:57,
author = {Havas, P.},
doi = {10.1103/PhysRev.108.1351},
journal = {Phys. Rev.},
keywords = {Radiation damping, Self-force, General relativity},
number = {5},
numpages = {1},
pages = {1351--1352},
title = {Radiation Damping in General Relativity},
volume = {108},
year = {1957}
}
@article{havas-goldberg:62,
author = {Havas, P. and Goldberg, J.N.},
doi = {10.1103/PhysRev.128.398},
journal = {Phys. Rev.},
keywords = {Self-force, General relativity},
number = {1},
numpages = {16},
pages = {398--414},
title = {Lorentz-Invariant Equations of Motion of Point Masses in the General Theory of Relativity},
volume = {128},
year = {1962}
}
@article{hinderer-flanagan:08,
archiveprefix = {arXiv},
author = {Hinderer, T. and Flanagan, {\'{E}}.{\'{E}}.},
doi = {10.1103/PhysRevD.78.064028},
eprint = {0805.3337},
id = {064028},
journal = {Phys. Rev. D},
keywords = {Extreme mass-ratio inspirals, Two-time scale expansion, Adiabatic approximation},
title = {Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion},
volume = {78},
year = {2008}
}
@article{infeld-schild:49,
author = {Infeld, L. and Schild, A.},
doi = {10.1103/RevModPhys.21.408},
journal = {Rev. Mod. Phys.},
keywords = {Point-particle limit, Geodesic equation},
pages = {408--413},
title = {On the Motion of Test Particles in General Relativity},
volume = {21},
year = {1949}
}
@article{kates:80b,
author = {Kates, R.E.},
doi = {10.1103/PhysRevD.22.1879},
journal = {Phys. Rev. D},
keywords = {Matched asymptotic expansion, Lorentz force},
pages = {1879--1881},
title = {Motion of an electrically or magnetically charged body with possibly strong internal gravity through external electromagnetic and gravitational fields},
volume = {22},
year = {1980}
}
@article{kates:81,
author = {Kates, R.E.},
doi = {10.1016/0003-4916(81)90265-7},
journal = {Ann. Phys. (N.Y.)},
keywords = {Perturbation theory, Matched asymptotic expansion},
pages = {1--17},
title = {Underlying structure of singular perturbations on manifolds},
volume = {132},
year = {1981}
}
@article{mino-etal:97b,
archiveprefix = {arXiv},
author = {Mino, Y. and Sasaki, M. and Tanaka, T.},
doi = {10.1143/PTPS.128.373},
eprint = {gr-qc/9712056},
journal = {Prog. Theor. Phys. Suppl.},
keywords = {Matched asymptotic expansion, Self-force},
pages = {373--406},
title = {Gravitational radiation reaction},
volume = {128},
year = {1997}
}
@article{papapetrou:51,
adsurl = {http://adsabs.harvard.edu/abs/1951RSPSA.209..248P},
author = {Papapetrou, A.},
doi = {10.1098/rspa.1951.0200},
journal = {Proc. R. Soc. London, Ser. A},
keywords = {Spin force},
pages = {248--258},
title = {Spinning Test-Particles in General Relativity. I},
volume = {209},
year = {1951}
}
@article{poisson:04a,
archiveprefix = {arXiv},
author = {Poisson, E.},
doi = {10.1103/PhysRevD.69.084007},
eprint = {gr-qc/0311026},
id = {084007},
journal = {Phys. Rev. D},
keywords = {Matched asymptotic expansion, Self-force},
title = {Retarded coordinates based at a world line and the motion of a small black hole in an external universe},
volume = {69},
year = {2004}
}
@thesis{haasPhD,
address = {Guelph},
adsurl = {http://adsabs.harvard.edu/abs/2008PhDT........26H},
author = {Haas, R.},
format = {phd},
keywords = {Self-force, Schwarzschild solution, Scalar fields, Eccentric orbits, Time domain},
school = {University of Guelph},
title = {Self-force on point particles in orbit around a Schwarzschild black hole},
year = {2008}
}
@thesis{keidlPhD,
address = {Milwaukee},
adsurl = {http://adsabs.harvard.edu/abs/2008PhDT.........7K},
author = {Keidl, T.},
format = {phd},
keywords = {Self-force, Newman-Penrose formalism, Radiation gauge},
school = {University of Wisconsin-Milwaukee},
title = {Self-force for extreme mass ratio inspiral},
year = {2008}
}
@thesis{pound:10c,
address = {Guelph},
archiveprefix = {arXiv},
author = {Pound, A.},
eprint = {1006.3903},
format = {phd},
keywords = {Matched asymptotic expansion, Self-force, Perturbation theory, Two-time scale expansion, Adiabatic approximation, Conservative effects},
school = {University of Guelph},
title = {Motion of small bodies in general relativity: foundations and implementations of the self-force},
year = {2010}
}
@thesis{vegaPhD,
address = {Gainesville},
author = {Vega, I.},
format = {phd},
keywords = {Self-force, Schwarzschild solution, Scalar fields, Time domain, Numerical relativity},
school = {University of Florida},
title = {The dynamics of point particles around black holes},
year = {2009}
}
@thesis{wardellPhD,
address = {Dublin},
archiveprefix = {arXiv},
author = {Wardell, B.},
eprint = {0910.2634},
format = {phd},
keywords = {Radiation reaction, Hadamard expansion, Green's functions},
school = {University College Dublin},
title = {Green Functions and Radiation Reaction From a Spacetime Perspective},
year = {2009}
}
@article{racine-flanagan:05,
archiveprefix = {arXiv},
author = {Racine, E. and Flanagan, {\'{E}}.{\'{E}}.},
doi = {10.1103/PhysRevD.71.044010},
eprint = {gr-qc/0404101},
id = {044010},
journal = {Phys. Rev. D},
keywords = {Post-Newtonian approximations, Extended bodies, Multipole moments},
title = {Post-1-Newtonian equations of motion for systems of arbitrarily structured bodies},
volume = {71},
year = {2005}
}
@article{rosenthal:06a,
archiveprefix = {arXiv},
author = {Rosenthal, E.},
doi = {10.1103/PhysRevD.73.044034},
eprint = {gr-qc/0602066},
id = {044034},
journal = {Phys. Rev. D},
keywords = {Metric perturbations, Matched asymptotic expansion},
title = {Construction of the second-order gravitational perturbations produced by a compact object},
volume = {73},
year = {2006}
}
@article{rosenthal:06b,
archiveprefix = {arXiv},
author = {Rosenthal, E.},
doi = {10.1103/PhysRevD.74.084018},
eprint = {gr-qc/0609069},
id = {084018},
journal = {Phys. Rev. D},
keywords = {Self-force},
title = {Second-order gravitational self-force},
volume = {74},
year = {2006}
}
@article{schattner:79,
author = {Schattner, R.},
journal = {Gen. Relativ. Gravit.},
keywords = {Center of mass, General relativity},
pages = {377--393},
title = {The center of mass in general relativity},
volume = {10},
year = {1979}
}
@article{steinbauer-vickers:06,
archiveprefix = {arXiv},
author = {Steinbauer, R. and Vickers, J.A.},
doi = {10.1088/0264-9381/23/10/R01},
eprint = {gr-qc/0603078},
journal = {Class. Quantum Grav.},
keywords = {Theory of distributions, General relativity},
pages = {R91--R114},
title = {The use of Generalised Functions and Distributions in General Relativity},
volume = {23},
year = {2006}
}
@article{steinhoff-puetzfeld:10,
archiveprefix = {arXiv},
author = {Steinhoff, J. and Puetzfeld, D.},
doi = {10.1103/PhysRevD.81.044019},
eprint = {0909.3756},
id = {044019},
journal = {Phys. Rev. D},
keywords = {Multipole moments, Extended bodies, Equations of motion, General relativity},
title = {Multipolar equations of motion for extended test bodies in General Relativity},
volume = {81},
year = {2010}
}
@article{taylor-poisson:08,
archiveprefix = {arXiv},
author = {Taylor, S. and Poisson, E.},
doi = {10.1103/PhysRevD.78.084016},
eprint = {0806.3052},
id = {084016},
journal = {Phys. Rev. D},
keywords = {Matched asymptotic expansion, Post-Newtonian approximations, Equations of motion},
title = {Nonrotating black hole in a post-Newtonian tidal environment},
volume = {78},
year = {2008}
}
@book{landau-lifshitz:b2,
address = {Oxford; New York},
author = {Landau, L.D. and Lifshitz, E.M.},
edition = {4th},
gbs_id = {QIxD3Z82AagC},
keywords = {Classical field theory, Electromagnetism, General relativity},
publisher = {Pergamon Press},
series = {Course of Theoretical Physics},
title = {The Classical Theory of Fields},
volume = {2},
year = {1975}
}
@article{zelnikov-frolov:82,
author = {Zel'nikov, A.I and Frolov, V.P.},
journal = {Sov. Phys. JETP},
keywords = {Self-force, Spherical symmetry},
pages = {919--198},
title = {Influence of gravitation on the self-energy of charged particles},
volume = {55},
year = {1982}
}
@article{leaute-linet:76,
author = {Leaute, B. and Linet, B.},
doi = {10.1016/0375-9601(76)90529-6},
journal = {Phys. Lett. A},
keywords = {Electrostatics, Black holes, Spherical symmetry},
pages = {5--6},
title = {Electrostatics in a Reissner-Nordstr\"om space-time},
volume = {58},
year = {1976}
}
@article{haas-poisson:05,
archiveprefix = {arXiv},
author = {Haas, R. and Poisson, E.},
doi = {10.1088/0264-9381/22/15/008},
eprint = {gr-qc/0411108},
journal = {Class. Quantum Grav.},
keywords = {Self-force, Scalar fields, Cosmology},
pages = {S739--S752},
title = {Mass change and motion of a scalar charge in cosmological spacetimes},
volume = {22},
year = {2005}
}
@article{walker-will:80,
author = {Walker, M. and Will, C.M.},
doi = {10.1086/183417},
journal = {Astrophys. J. Lett.},
keywords = {Radiation reaction, Post-Minkowskian approximations},
pages = {L129--L133},
title = {The approximation of radiative effects in relativistic gravity -- Gravitational radiation reaction and energy loss in nearly Newtonian systems},
volume = {242},
year = {1980}
}
@article{blanchet:06,
archiveprefix = {arXiv},
author = {Blanchet, L.},
cited = {25 August 2010},
eprint = {gr-qc/0202016},
id = {lrr-2006-4},
journal = {Living Rev. Relativity},
keywords = {Gravitational radiation, Post-Newtonian approximations, Compact binaries, Inspiralling binaries},
title = {Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries},
url = {http://www.livingreviews.org/lrr-2006-4},
volume = {9},
year = {2006}
}
@article{ehlers-geroch:03,
archiveprefix = {arXiv},
author = {Ehlers, J. and Geroch, R.},
doi = {10.1016/j.aop.2003.08.020},
eprint = {gr-qc/0309074},
journal = {Ann. Phys. (N.Y.)},
keywords = {Equations of motion, General relativity},
pages = {232--236},
title = {Equation of motion of small bodies in relativity},
volume = {309},
year = {2004}
}
@article{thorne:80,
adsurl = {http://adsabs.harvard.edu/abs/1980RvMP...52..299T},
author = {Thorne, K.S.},
doi = {10.1103/RevModPhys.52.299},
journal = {Rev. Mod. Phys.},
keywords = {Multipole moments, Gravitational radiation},
pages = {299--339},
title = {Multipole expansions of gravitational radiation},
volume = {52},
year = {1980}
}