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Self-force on a scalar particle in spherically-symmetric spacetime via mode-sum regularization: radial trajectories

Self-force on a scalar particle in spherically-symmetric spacetime via mode-sum regularization: radial trajectories
Self-force on a scalar particle in spherically-symmetric spacetime via mode-sum regularization: radial trajectories
Recently, we proposed a method for calculating the “radiation reaction” self-force exerted on a charged particle moving in a strong field orbit in a black hole spacetime. In this approach, one first calculates the contribution to the “tail” part of the self-force due to each multipole mode of the particle’s self-field. A certain analytic procedure is then applied to regularize the (otherwise divergent) sum over modes. This involves the derivation of certain regularization parameters using local analysis of the (retarded) Green’s function. In the present paper we present a detailed formulation of this mode-sum regularization scheme for a scalar charge on a class of static spherically symmetric backgrounds (including, e.g., the Schwarzschild, Reissner-Nordström, and Schwarzschild–de Sitter spacetimes). We fully implement the regularization scheme for an arbitrary radial trajectory (not necessarily geodesic) by explicitly calculating all necessary regularization parameters in this case.
1550-7998
21pp
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298
Barack, Leor
f08e66d4-c2f7-4f2f-91b8-f2c4230d0298

Barack, Leor (2000) Self-force on a scalar particle in spherically-symmetric spacetime via mode-sum regularization: radial trajectories. Physical Review D, 62 (84027), 21pp. (doi:10.1103/PhysRevD.62.084027).

Record type: Article

Abstract

Recently, we proposed a method for calculating the “radiation reaction” self-force exerted on a charged particle moving in a strong field orbit in a black hole spacetime. In this approach, one first calculates the contribution to the “tail” part of the self-force due to each multipole mode of the particle’s self-field. A certain analytic procedure is then applied to regularize the (otherwise divergent) sum over modes. This involves the derivation of certain regularization parameters using local analysis of the (retarded) Green’s function. In the present paper we present a detailed formulation of this mode-sum regularization scheme for a scalar charge on a class of static spherically symmetric backgrounds (including, e.g., the Schwarzschild, Reissner-Nordström, and Schwarzschild–de Sitter spacetimes). We fully implement the regularization scheme for an arbitrary radial trajectory (not necessarily geodesic) by explicitly calculating all necessary regularization parameters in this case.

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Published date: 15 October 2000

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Local EPrints ID: 48009
URI: http://eprints.soton.ac.uk/id/eprint/48009
ISSN: 1550-7998
PURE UUID: b98da9e1-e3dd-4fcc-b57b-2564e53ded36
ORCID for Leor Barack: ORCID iD orcid.org/0000-0003-4742-9413

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Date deposited: 20 Aug 2007
Last modified: 17 Dec 2019 01:47

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Author: Leor Barack ORCID iD

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