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

Details Renormalized Vacuum Polarization and Stress Tensor on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String Renormalized Vacuum Polarization and Stress Tensor on the Horizon of a Schwarzschild Black Hole Threaded by a Cosmic String

2010-10-19

arxiv.org/abs/1010.3943v1

Class.Quant.Grav.28:015007,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This is an expanded version of a previous submission, we have added the calculation of the stress tensor. 28 pages, 7 figures

Scientific paper

10.1088/0264-9381/28/1/015007

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 infinte 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.

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