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

2010/06/23 by Adrian Ottewill, Peter Taylor, Ottewill, Adrian +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #gr-qc #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1006.4520

Corrected reference

arxiv created 2010/06/30 · arxiv updated 2010/07/02

Abstract

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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