Method of Matched Expansions & the Singularity Structure of the Green Function
General Relativity and Quantum Cosmology
2010-03-31 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
We present the first successful application of the method of Matched Expansions for the calculation of the self-force on a point particle in a curved spacetime. We investigate the case of a scalar charge in the Nariai spacetime, which serves as a toy model for a point mass moving in the Schwarzschild black hole background. We discuss the singularity structure of the Green function beyond the normal neighbourhood and the interesting effect of caustics on null wave propagation.
Cite
@article{arxiv.1003.5790,
title = {Method of Matched Expansions & the Singularity Structure of the Green Function},
author = {Marc Casals and Sam Dolan and Adrian C. Ottewill and Barry Wardell},
journal= {arXiv preprint arXiv:1003.5790},
year = {2010}
}
Comments
3 pages, 2 figures. Proceedings of the 12th Marcel Grossman Meeting on General Relativity, Paris, France, 12-18 July 2009.