Geometric Engineering 5d Black Holes with Rod Diagrams

Details Geometric Engineering 5d Black Holes with Rod Diagrams Geometric Engineering 5d Black Holes with Rod Diagrams

2008-06-20

arxiv.org/abs/0806.3389v2

JHEP 0809:004,2008

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, no figures, added ref and comment on discrete hair in asymptotic Taub-NUT and on L(p,q) horizons

Scientific paper

10.1088/1126-6708/2008/09/004

Static solutions of 5-dimensional gravity with two spatial Killing vectors are characterized by their rod structures. In this note we describe how the orbifold singularities and the topologies of the horizons and asymptotic regions can be determined from the corresponding rod diagrams. As an example we introduce the black lens, a static 5-dimensional black hole with a horizon of lens space topology which is asymptotically Minkowski space. The solution is novel in that the asymptotic Minkowski space is not quotiented. However it suffers from a naked singularity. While the conical and orbifold singularities have been removed, two spherical curvature singularities remain. These singularities do not contribute to the ADM mass, and the thermodynamics of the black lens is well behaved, although its entropy is lower than that of a Tangherlini black hole of the same mass.

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