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Title:
Derivation of Gravitational Self-Force
Authors:
Gralla, Samuel E.; Wald, Robert M.
Publication:
eprint arXiv:0907.0414
Publication Date:
07/2009
Origin:
ARXIV
Keywords:
General Relativity and Quantum Cosmology
Comment:
9 pages, no figures; to appear in proceedings of CNRS School on Mass
Bibliographic Code:
2009arXiv0907.0414G

Abstract

We analyze the issue of ``particle motion'' in general relativity in a systematic and rigorous way by considering a one-parameter family of metrics corresponding to having a body (or black hole) that is ``scaled down'' to zero size and mass in an appropriate manner. We prove that the limiting worldline of such a one-parameter family must be a geodesic of the background metric and obtain the leading order perturbative corrections, which include gravitational self-force, spin force, and geodesic deviation effects. The status the MiSaTaQuWa equation is explained as a candidate ``self-consistent perturbative equation'' associated with our rigorous perturbative result
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