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arXiv · 1808.04386

Vacuum polarization on topological black holes

Thomas Morley·Peter Taylor·Elizabeth Winstanley
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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.

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Thomas Morley, Peter Taylor, Elizabeth Winstanley. 2018-08-13. Vacuum polarization on topological black holes. https://doi.org/10.1088/1361-6382%2Faae45b

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