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Vacuum polarization for lukewarm black holes

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arxiv 0708.3820 v2 pith:6VMFJIE3 submitted 2007-08-28 gr-qc

Elizabeth Winstanley , Phil M. Young This is my paper · ORCID
classification gr-qc
keywords horizonsblackcosmologicaleventexpectationfieldholelukewarm
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We compute the renormalized expectation value of the square of a quantum scalar field on a Reissner-Nordstrom-de Sitter black hole in which the temperatures of the event and cosmological horizons are equal (`lukewarm' black hole). Our numerical calculations for a thermal state at the same temperature as the two horizons indicate that this renormalized expectation value is regular on both the event and cosmological horizons. We are able to show analytically, using an approximation for the field modes near the horizons, that this is indeed the case.

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Cited by 1 Pith paper

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  1. Vacuum polarization in the Schwarzschild black hole with a global monopole

    gr-qc 2026-02 conditional novelty 6.0 of 10

    On the horizon of a Schwarzschild black hole with a global monopole, the renormalized vacuum polarization of a massless scalar splits, through O(η²), into the naked-monopole value at r_h plus Candelas' Schwarzschild v...

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