Journal Article

Covariant Self-Force Regularization of a Particle Orbiting a Schwarzschild Black Hole

Yasushi Mino, Hiroyuki Nakano and Misao Sasaki

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 108, issue 6, pages 1039-1064
Published in print December 2002 | ISSN: 0033-068X
Published online December 2002 | e-ISSN: 1347-4081 | DOI: https://dx.doi.org/10.1143/PTP.108.1039
Covariant Self-Force Regularization of a Particle Orbiting a Schwarzschild Black Hole

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The covariant structure of the self-force of a particle in a general curved background has been elucidated in the cases of scalar, electromagnetic, and gravitational charges. Specifically, what we need is the part of the self-field that is non-vanishing off and within the past light cone of the 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 the mathematical tools necessary 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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