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This review is concerned with the motion of a point scalar charge, a point electric charge, and a point mass in a specified background spacetime.
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P. Chrzanowski, Vector potential and metric perturbations of a rotating black hole
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1975
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P. D’Eath, Dynamics of a small black hole in a background universe
1975
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1977
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1978
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1979
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1979
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1979
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1979
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C. Teitelboim, D. Villarroel, and C. van Weert, Classical electrodynamics of retarded fields and point particles
1980
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A. Smith and C. Will, Force on a static charge outside a Schwarzschild black hole
1980
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M. Walker and C. M. Will, The approximation of radiative effects in relativistic gravity — Gravitational radiation reaction and energy loss in nearly Newtonian systems
1980
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R. Kates, Motion of a small body through an external field in general relativity calculated by matched asymptotic expansions
1980
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R. E. Kates, Motion of an electrically or magnetically charged body with possibly strong internal gravity through external electromagnetic and gravitational fields
1980
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K. S. Thorne, Multipole expansions of gravitational radiation
1980
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R. Kates, Underlying structure of singular perturbations on manifolds
1981
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A. I. Zel’nikov and V. P. Frolov, Influence of gravitation on the self-energy of charged particles
1982
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D. Gal’tsov, Radiation reaction in the Kerr gravitational field
1982
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G. F. Roach, Green’s Functions
1982
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K. Thorne and J. Hartle, Laws of motion and precession for black holes and other bodies
1985
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X.-H. Zhang, Multipole expansions of the general-relativistic gravitational field of the external universe
1986
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T. Damour and L. Blanchet, Radiative gravitational fields I
1986
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R. Geroch and J. Traschen, Strings and other distributional sources in general relativity
1987
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P. A. Lagerstrom, Matched asymptotic expansions
1988
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F. Rohrlich, Classical charged particles
1990
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T. Damour and B. Iyer, Multipole analysis for electromagnetism and linearized gravity with irreducible Cartesian tensors
1991
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M. H. Holmes, Introduction to perturbation methods
1995
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E. Flanagan and R. Wald, Does back reaction enforce the averaged null energy condition in semiclassical gravity?
1996
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J. Kevorkian and J. D. Cole, Multiple scale and singular perturbation methods
1996
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P. D’Eath, Black holes: Gravitational interactions
1996
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Y. Mino, M. Sasaki, and T. Tanaka, Gravitational radiation reaction to a particle motion
1997
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T. Quinn and R. Wald, Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
1997
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C. Lousto and R. Price, Understanding initial data for black hole collisions
1997
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Y. Mino, M. Sasaki, and T. Tanaka, Gravitational radiation reaction
1997
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J. Jackson, Classical Electrodynamics, Third Edition
1999
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T. Quinn and R. Wald, Energy conservation for point particles undergoing radiation reaction
1999
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T. Quinn, Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
2000
Cited alongside, same era.
L. D. Landau and E. M. Lifshitz, The classical theory of fields, fourth edition
2000
Cited alongside, same era.
A. Wiseman, Self-force on a static scalar test charge outside a Schwarzschild black hole
2000
Cited alongside, same era.
L. Barack and A. Ori, Mode sum regularization approach for the self-force in black hole spacetime
2000
Cited alongside, same era.
L. Barack, Self-force on a scalar particle in spherically symmetric spacetime via mode-sum regularization: Radial trajectories
2000
Cited alongside, same era.
C. Lousto, Pragmatic approach to gravitational radiation reaction in binary black holes
T. Fukumoto, T. Futamase, and Y. Itoh, On the equation of motion for a fast moving small object using the strong field point particle limit
2006
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E. Rosenthal, Construction of the second-order gravitational perturbations produced by a compact object
2006
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E. Rosenthal, Second-order gravitational self-force
2006
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K. Shankar and B. Whiting, Self-force of a static electric charge near a Schwarzschild star
2007
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R. Haas, Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation
2007
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L. Barack and N. Sago, Gravitational self-force on a particle in circular orbit around a Schwarzschild black hole
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2000
Cited alongside, same era.
L. Burko, Self-force on static charges in Schwarzschild spacetime
2000
Cited alongside, same era.
L. Barack and L. Burko, Radiation-reaction force on a particle plunging into a black hole
2000
Cited alongside, same era.
L. Burko, Self-force on a particle in orbit around a black hole
2000
Cited alongside, same era.
S. Hughes, Evolution of circular, nonequatorial orbits of Kerr black holes due to gravitational-wave emission
2000
Cited alongside, same era.
A. Ori and K. Thorne, Transition from inspiral to plunge for a compact body in a circular equatorial orbit around a massive, spinning black hole
2000
Cited alongside, same era.
K. Alvi, Approximate binary-black-hole metric
2000
Cited alongside, same era.
2007
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L. Burko and G. Khanna, Accurate time-domain gravitational waveforms for extreme-mass-ratio binaries
2007
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P. Sundararajan, G. Khanna, and S. Hughes, Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
2007
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L. Barack and D. Golbourn, Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions
2007
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L. Barack, D. Golbourn, and N. Sago, m-mode regularization scheme for the self-force in Kerr spacetime
2007
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K. Ganz, W. Hikida, H. Nakano, N. Sago, and T. Tanaka, Adiabatic evolution of three ’constants’ of motion for greatly inclined orbits in Kerr spacetime
2007
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Y. Itoh and T. Futamase, The post-Newtonian approximation for relativistic compact binaries
2007
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S. E. Gralla and R. M. Wald, A rigorous derivation of gravitational self-force
2008
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R. Haas, Self-force on point particles in orbit around a schwarzschild black hole
2008
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S. Detweiler, Consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
2008
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N. Sago, L. Barack, and S. Detweiler, Two approaches for the gravitational self force in black hole spacetime: Comparison of numerical results
2008
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T. Keidl, Self-force for extreme mass ratio inspiral
2008
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I. Vega and S. Detweiler, Regularization of fields for self-force problems in curved spacetime: Foundations and a time-domain application
2008
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C. Lousto and H. Nakano, A new method to integrate (2+1)-wave equations with Dirac’s delta functions as sources
2008
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A. Ottewill and B. Wardell, Quasilocal contribution to the scalar self-force: Geodesic motion
2008
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Y. Mino and R. Price, Two-timescale adiabatic expansion of a scalar field model
2008
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T. Hinderer and E. E. Flanagan, Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
2008
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A. Pound and E. Poisson, Multi-scale analysis of the electromagnetic self-force in a weak gravitational field
2008
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A. Pound and E. Poisson, Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
2008
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P. Sundararajan, Transition from adiabatic inspiral to geodesic plunge for a compact object around a massive Kerr black hole: Generic orbits
2008
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A. I. Harte, Self-forces from generalized Killing fields
2008
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S. Taylor and E. Poisson, Nonrotating black hole in a post-Newtonian tidal environment
2008
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T. Futamase, P. A. Hogan, and Y. Itoh, Equations of motion in general relativity of a small charged black hole
2008
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S. E. Gralla, A. I. Harte, and R. M. Wald, A rigorous derivation of electromagnetic self-force
2009
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L. Barack, Gravitational self force in extreme mass-ratio inspirals
2009
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P. Canizares and C. Sopuerta, Efficient pseudospectral method for the computation of the self-force on a charged particle: Circular geodesics around a Schwarzschild black hole
2009
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L. Barack and N. Sago, Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
2009
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S. Field, J. Hesthaven, and S. Lau, Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries
2009
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I. Vega, P. Diener, W. Tichy, and S. Detweiler, Self-force with (3+1) codes: a primer for numerical relativists
2009
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I. Vega, The dynamics of point particles around black holes
2009
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B. Wardell, Green functions and radiation reaction from a spacetime perspective
2009
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A. Ottewill and B. Wardell, Quasilocal contribution to the scalar self-force: Nongeodesic motion
2009
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M. Casals, S. Dolan, A. Ottewill, and B. Wardell, Padé approximants of the Green function in spherically symmetric spacetimes
2009
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M. Casals, S. Dolan, A. Ottewill, and B. Wardell, Self-force calculations with matched expansions and quasinormal mode sums
2009
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E. A. Huerta and J. R. Gair, Influence of conservative corrections on parameter estimation for EMRIs
2009
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A. I. Harte, Electromagnetic self-forces and generalized Killing fields
2009
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C. R. Galley and B. L. Hu, Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
2009
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S. Gralla, Comments on first and second order gravitational self-force
2009
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A. Pound, Self-consistent gravitational self-force
2010
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A. Pound, Singular perturbation techniques in the gravitational self-force problem
2010
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L. Barack, T. Damour, and N. Sago, Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
2010
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L. Blanchet, S. Detweiler, A. Le Tiec, and B. Whiting, Post-Newtonian and numerical calculations of the gravitational self-force for circular orbits in the Schwarzschild geometry
2010
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L. Blanchet, S. Detweiler, A. Le Tiec, and B. Whiting, High-order post-Newtonian fit of the gravitational self-force for circular orbits in the Schwarzschild geometry
2010
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T. Damour, Gravitational self-force in a Schwarzschild background and the effective one-body formalism
2010
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N. Warburton and L. Barack, Self-force on a scalar charge in Kerr spacetime: Circular equatorial orbits
2010
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T. Keidl, A. Shah, J. Friedman, D. Kim, and L. Price, Gravitational self-force in a radiation gauge
2010
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J. Barton, D. Lazar, D. Kennefick, G. Khanna, and L. Burko, Computational efficiency of frequency– and time–domain calculations of extreme mass–ratio binaries: Equatorial orbits
2010
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S. Field, J. Hesthaven, and S. Lau, Persistent junk solutions in time-domain modeling of extreme mass ratio binaries
2010
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P. Canizares, C. Sopuerta, and J. Jaramillo, Pseudospectral collocation methods for the computation of the self-force on a charged particle: Generic orbits around a Schwarzschild black hole
2010
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A. Pound, Motion of small bodies in general relativity: foundations and implementations of the self-force
2010
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2010
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L. Barack and N. Sago, Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole
2010
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A. I. Harte, Effective stress-energy tensors, self-force, and broken symmetry
2010
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J. Steinhoff and D. Puetzfeld, Multipolar equations of motion for extended test bodies in General Relativity
2010
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S. Akcay, Fast frequency-domain algorithm for gravitational self-force: Circular orbits in Schwarzschild spacetime
2011
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S. Dolan and L. Barack, Self-force via m-mode regularization and 2+1D evolution: Foundations and a scalar-field implementation on Schwarzschild spacetime
2011
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L. Barack and N. Sago, Beyond the geodesic approximation: Conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole
2011
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