Covariant Self-force Regularization of a Particle Orbiting a Schwarzschild Black Hole - Mode Decomposition Regularization -

Preprint

22 November 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0111074

Abstract

Covariant structure of the self-force of a particle in a general curved background has been made clear in the cases of scalar [Quinn], electromagnetic [DeWittBrehme], and gravitational charges [QuinnWald]. Namely, what we need is the part of the self-field that is non-vanishing off and within the past light-cone of particle's location, the so-called tail. The radiation reaction force in the absence of external fields is entirely contained in the tail. In this paper, we develop mathematical tools for the regularization and propose a practical method to calculate the self-force of a particle orbiting a Schwarzschild black hole.

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All Related Versions

Version 1, 2001-11-22, ArXiv
Published version: Progress of Theoretical Physics, 108 (6), 1039.

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