Scalar field conformally coupled to a charged BTZ black hole
General Relativity and Quantum Cosmology
2016-05-04 v1
Abstract
We study the Klein-Gordon equation of a scalar field conformally coupled to a charged BTZ black hole. The background metric is obtained by coupling a non-linear and conformal invariant Maxwell field to (2+1) gravity. We show that the radial part is generally solved by a Heun function and, in the pure gravity limit, by a hypergeometric function.
Keywords
Cite
@article{arxiv.1602.04021,
title = {Scalar field conformally coupled to a charged BTZ black hole},
author = {P. Valtancoli},
journal= {arXiv preprint arXiv:1602.04021},
year = {2016}
}
Comments
9 pages, no figures