Vacuum polarization for lukewarm black holes
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0708.3820,
title = {Vacuum polarization for lukewarm black holes},
author = {Elizabeth Winstanley and Phil M. Young},
journal= {arXiv preprint arXiv:0708.3820},
year = {2008}
}
Comments
19 pages, 9 figures, revtex4. Minor changes only, accepted for publication in Physical Review D