Morgan, D., Thom, S., Winstanley, E. orcid.org/0000-0001-8964-8142 et al. (1 more author) (2007) Some general properties of the renormalized stress-energy tensor for static quantum states on (n+1)-dimensional spherically symmetric black holes. General Relativity and Gravitation, 39 (10). pp. 1719-1734. ISSN 0001-7701
Abstract
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2007 Springer Verlag. This is an author produced version of a paper subsequently published in General Relativity and Gravitation. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Black holes; renormalized stress-energy tensor; Sshwarzschild space-time; quantized scalar fields; de-Sitter space; cosmological constant; point-separation; event horizons; vacuum energy; thermodynamics; instability; gravity |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 27 Jul 2016 08:17 |
Last Modified: | 28 Mar 2018 19:48 |
Published Version: | http://dx.doi.org/10.1007/s10714-007-0486-3 |
Status: | Published |
Publisher: | Springer Verlag |
Refereed: | Yes |
Identification Number: | 10.1007/s10714-007-0486-3 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:102559 |