Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions

Details Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions

2004-01-26

arxiv.org/abs/hep-th/0401192v2

Phys.Rev. D70 (2004) 024002

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 11 figures, RevTeX4. References added. Published version

Scientific paper

10.1103/PhysRevD.70.024002

We 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.

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