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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
Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases
We obtain all "regularization parameters" (RPs) 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. 88, 091101 (2002)]. In the electromagnetic case, the RPs are obtained here for the first time.
schwarzschild metric, black holes, differential geometry
1550-7998
024029-[11pp]
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Ori, Amos
a7e1cc9a-5d14-4e4e-bc3f-6eab0d2f9d64

Barack, Leor and Ori, Amos (2003) Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases. Physical Review D, 67 (2), 024029-[11pp]. (doi:10.1103/PhysRevD.67.024029).

Record type: Article

Abstract

We obtain all "regularization parameters" (RPs) 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. 88, 091101 (2002)]. In the electromagnetic case, the RPs are obtained here for the first time.

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Published date: January 2003
Keywords: schwarzschild metric, black holes, differential geometry

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Local EPrints ID: 29368
URI: https://eprints.soton.ac.uk/id/eprint/29368
ISSN: 1550-7998
PURE UUID: 8edd5063-69fc-433c-84b2-35aaf6e0f586
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 12 May 2006
Last modified: 07 Aug 2019 00:42

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Author: Leor Barack ORCID iD
Author: Amos Ori

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