Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 39, Issue 10, Pages 1719-1734Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-007-0486-3
Keywords
black holes; renormalized stress-energy tensor
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We study the renormalized stress-energy tensor (RSET) for static quantum states on (n + 1)-dimensional, static, spherically symmetric black holes. By solving the conservation equations, we are able to write the stress-energy tensor in terms of a single unknown function of the radial co-ordinate, plus two arbitrary constants. Conditions for the stress-energy tensor to be regular at event horizons (including the extremal and ultra-extremal cases) are then derived using generalized Kruskal-like co-ordinates. These results should be useful for future calculations of the RSET for static quantum states on spherically symmetric black hole geometries in any number of space-time dimensions.
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