Mode sum regularization approach for the self-force in black hole spacetime
General Relativity and Quantum Cosmology
2009-12-30 v2
Abstract
We present a method for calculating the self-force (the ``radiation reaction force'') acting on a charged particle moving in a strong field orbit in black hole spacetime. In this approach, one first calculates the contribution to the self-force due to each multipole mode of the particle's field. Then, the sum over modes is evaluated, subject to a certain regularization procedure. Here we develop this regularization procedure for a scalar charge on a Schwarzschild background, and present the results of its implementation for radial trajectories (not necessarily geodesic).
Cite
@article{arxiv.gr-qc/9912010,
title = {Mode sum regularization approach for the self-force in black hole spacetime},
author = {Leor Barack and Amos Ori},
journal= {arXiv preprint arXiv:gr-qc/9912010},
year = {2009}
}
Comments
Minor corrections. Accepted for publication in PRD (Rapid Communications)