Renormalized vacuum polarization and stress tensor on the horizon of a Schwarzschild black hole threaded by a cosmic string

Author: Ottewill Adrian C   Taylor Peter  

Publisher: IOP Publishing

ISSN: 0264-9381

Source: Classical and Quantum Gravity, Vol.28, Iss.1, 2011-01, pp. : 15007-15033

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Abstract

We calculate the renormalized vacuum polarization and stress tensor for a massless, arbitrarily coupled scalar field in the Hartle–Hawking vacuum state on the horizon of a Schwarzschild black hole threaded by an infinite straight cosmic string. This calculation relies on a generalized Heine identity for non-integer Legendre functions which we derive without using specific properties of the Legendre functions themselves.