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When a small, uncharged, compact object is immersed in an external background spacetime, at zeroth order in its mass it moves as a test particle in the background.
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Steven L. Detweiler, “Radiation reaction and the self-force for a point mass in general relativity,” Phys. Rev. Lett. 86
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Brent Preston and Eric Poisson, “Light-cone coordinates based at a geodesic world line,” Phys. Rev. D 74
2006
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Duncan A. Brown, Jeandrew Brink, Hua Fang, Jonathan R. Gair, Chao Li, Geoffrey Lovelace, Ilya Mandel, and Kip S. Thorne, “Prospects for detection of gravitational waves from intermediate-mass-ratio inspirals,” Phys. Rev. Lett. 99
2007
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Toshifumi Futamase and Yousuke Itoh, “The post-Newtonian approximation for relativistic compact binaries,” Living Reviews in Relativity 10
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2007
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Samuel E. Gralla and Robert M. Wald, “A Rigorous Derivation of Gravitational Self-force,” Class. Quant. Grav. 25
2014
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2014
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2014
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2014
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2008
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2008
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2008
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Leor Barack, “Gravitational self force in extreme mass-ratio inspirals,” Class. Quant. Grav. 26
2009
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Thibault Damour, “Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism,” Phys. Rev. D 81
2010
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2010
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2010
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Eric Poisson, Adam Pound, and Ian Vega, “The motion of point particles in curved spacetime,” Living Rev. Relativity 14
2011
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2014
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2015
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2015
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2015
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2015
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Eric Poisson, “Tidal deformation of a slowly rotating black hole,” Phys. Rev. D 91
2015
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2015
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2015
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2016
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2016
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2016
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2016
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