Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
We find all higher dimensional solutions of Einstein-Maxwell theory that are the topological product of two manifolds of constant curvature. These solutions include the higher dimensional Nariai, Bertotti-Robinson and anti-Nariai solutions and the anti–de Sitter Bertotti-Robinson solutions with toroidal and hyperbolic topology (Plebański-Hacyan solutions). We give explicit results for any dimension D>~4. These solutions are generated from the appropriate extremal limits of the higher dimensional near-extreme black holes in de Sitter and anti–de Sitter backgrounds. Thus, we also find the mass and charge parameters of higher dimensional extreme black holes as a function of the radius of the degenerate horizon.
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
15 July 2004
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
Cardoso, Vitor, Dias, Oscar J.C. and Lemos, Jose P.S.
(2004)
Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions.
Phys.Rev.D, 70 (2), [024002].
(doi:10.1103/PhysRevD.70.024002).
Abstract
We find all higher dimensional solutions of Einstein-Maxwell theory that are the topological product of two manifolds of constant curvature. These solutions include the higher dimensional Nariai, Bertotti-Robinson and anti-Nariai solutions and the anti–de Sitter Bertotti-Robinson solutions with toroidal and hyperbolic topology (Plebański-Hacyan solutions). We give explicit results for any dimension D>~4. These solutions are generated from the appropriate extremal limits of the higher dimensional near-extreme black holes in de Sitter and anti–de Sitter backgrounds. Thus, we also find the mass and charge parameters of higher dimensional extreme black holes as a function of the radius of the degenerate horizon.
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Published date: 15 July 2004
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©2004 American Physical Society
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Local EPrints ID: 468105
URI: http://eprints.soton.ac.uk/id/eprint/468105
PURE UUID: def15e02-0761-4072-b802-e208bd2252b3
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Date deposited: 02 Aug 2022 17:05
Last modified: 17 Mar 2024 03:35
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Author:
Vitor Cardoso
Author:
Jose P.S. Lemos
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