Derivation of Gravitational Self-Force

Details Derivation of Gravitational Self-Force Derivation of Gravitational Self-Force

2009-07-02

arxiv.org/abs/0907.0414v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figures; to appear in proceedings of CNRS School on Mass

Scientific paper

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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