Vacuum polarization on topological black holes
General Relativity and Quantum Cosmology
2018-12-05 v2 High Energy Physics - Theory
Abstract
We investigate quantum effects on topological black hole space-times within the framework of quantum field theory on curved space-times. Considering a quantum scalar field, we extend a recent mode-sum regularization prescription for the computation of the renormalized vacuum polarization to asymptotically anti-de Sitter black holes with nonspherical event horizon topology. In particular, we calculate the vacuum polarization for a massless, conformally-coupled scalar field on a four-dimensional topological Schwarzschild-anti-de Sitter black hole background, comparing our results with those for a spherically-symmetric black hole.
Keywords
Cite
@article{arxiv.1808.04386,
title = {Vacuum polarization on topological black holes},
author = {Thomas Morley and Peter Taylor and Elizabeth Winstanley},
journal= {arXiv preprint arXiv:1808.04386},
year = {2018}
}
Comments
32 pages, 6 figures, minor changes, figure 4 corrected, published in Classical and Quantum Gravity