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26 April 2024
 
  » arxiv » hep-th/0401192

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Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
Vitor Cardoso ; Oscar J.C. Dias ; Jose’ P.S. Lemos ;
Date 26 Dec 2003
Journal Phys.Rev. D70 (2004) 024002
Subject hep-th
AbstractWe find all the higher dimensional solutions of the 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 (Plebanski-Hacyan solutions). We give explicit results for any dimension D>3. These solutions are generated from the appropriate extremal limits of the higher dimensional near-extreme black holes in a de Sitter, and anti-de Sitter backgrounds. Thus, we also find the mass and the charge parameters of the higher dimensional extreme black holes as a function of the radius of the degenerate horizon.
Source arXiv, hep-th/0401192
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