Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
We obtain all ``regularization parameters'' (RP) needed for calculating the gravitational and electromagnetic self forces for an arbitrary geodesic orbit around a Schwarzschild black hole. These RP values are required for implementing the previously introduced mode-sum method, which allows a practical calculation of the self force by summing over contributions from individual multipole modes of the particle's field. In the gravitational case, we provide here full details of the analytic method and results briefly reported in a recent Letter [Phys. Rev. Lett. {\bf 88}, 091101 (2002)]. In the electromagnetic case, the RP are obtained here for the first time.
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Cite
@article{arxiv.gr-qc/0209072,
title = {Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases},
author = {Leor Barack and Amos Ori},
journal= {arXiv preprint arXiv:gr-qc/0209072},
year = {2009}
}
Comments
14 pages, 1 figure