Authors: Samuel E. Gralla, Robert M. Wald
Date: 2 Jul 2009
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
0907.0414
(/preprints)
2009-07-02, 21:14
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© M. Vallisneri 2012 — last modified on 2010/01/29
Tantum in modicis, quantum in maximis