Quantum vacuum polarization around a Reissner-Nordstr\"om black hole in five dimensions
General Relativity and Quantum Cosmology
2018-02-07 v2 High Energy Physics - Theory
Abstract
WKB approximation methods are applied to the case of a massive scalar field around a 5-dimensional Reissner-Nordstr\"om black hole. The divergences are explicitly isolated and the cancellation against the Schwinger-De Witt counter-terms proven. The resulting finite quantity is evaluated for different values of the free parameters, namely the black hole mass and charge, and the scalar field mass. We thus extend our previous results on quantum vacuum polarization effects for uncharged asymptotically flat higher dimensional black holes to electrically charged black holes.
Keywords
Cite
@article{arxiv.1712.08171,
title = {Quantum vacuum polarization around a Reissner-Nordstr\"om black hole in five dimensions},
author = {Gonçalo M. Quinta and Antonino Flachi and José P. S. Lemos},
journal= {arXiv preprint arXiv:1712.08171},
year = {2018}
}
Comments
6 pages, 3 figures