Static Kerr Green's Function in Closed Form and an Analytic Derivation of the Self-Force for a Static Scalar Charge in Kerr Space-Time
General Relativity and Quantum Cosmology
2013-05-30 v1
Abstract
We derive a closed-form solution for the Green's function for the wave equation of a static (with respect to an undragged, static observer at infinity) scalar charge in the Kerr space-time. We employ our solution to obtain an analytic expression for the self-force on such a charge, comparing our results to those previously obtained using the mode-sum regularization prescription.
Cite
@article{arxiv.1205.5587,
title = {Static Kerr Green's Function in Closed Form and an Analytic Derivation of the Self-Force for a Static Scalar Charge in Kerr Space-Time},
author = {Adrian C. Ottewill and Peter Taylor},
journal= {arXiv preprint arXiv:1205.5587},
year = {2013}
}
Comments
18 pages, 2 figures