Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime
General Relativity and Quantum Cosmology
2009-05-18 v2
Abstract
In this paper we examine some aspects of the field of a scalar point charge in curved spacetimes. First we find the closed form solution for the scalar field due to a point charge in Schwarzschild spacetime. Then we expand it locally in powers of r (coordinate distance from the charge) and compare it to Quinn's local expansion for the field of scalar charge. We show a term by term match, except for a mismatch in one term arising due to an error in a Riemann tensor term in Quinn's expression. We show the correct expression, the detailed derivation of which will be subject of a later paper.
Keywords
Cite
@article{arxiv.0905.1493,
title = {Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime},
author = {Swapnil Tripathi},
journal= {arXiv preprint arXiv:0905.1493},
year = {2009}
}
Comments
15 pages, 2 figures, modified title, corrected typos, added references