Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases

Details Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases

2002-09-20

arxiv.org/abs/gr-qc/0209072v1

Phys.Rev. D67 (2003) 024029

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 1 figure

Scientific paper

10.1103/PhysRevD.67.024029

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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