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Renormalized Vacuum Polarization on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String

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arxiv 1006.4520 v3 pith:QDRI6NAU submitted 2010-06-23 math-ph gr-qcmath.MPquant-ph

Adrian Ottewill , Peter Taylor This is my paper · ORCID
classification math-phgr-qcmath.MPquant-ph
keywords blackcosmicfunctionsholehorizonlegendrepolarizationschwarzschild
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We obtain an analytic expression for the vacuum polarization on the horizon of the Schwarzschild black hole threaded by an infinite cosmic string. This calculation relies on a generalized Heine identity for Legendre functions which we derive without using specific properties of the Legendre functions themselves.

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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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