On the Stability of Squashed Kaluza-Klein Black Holes

Details On the Stability of Squashed Kaluza-Klein Black Holes On the Stability of Squashed Kaluza-Klein Black Holes

2007-12-27

arxiv.org/abs/0712.4202v1

Phys.Rev.D77:064015,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 3 figures

Scientific paper

10.1103/PhysRevD.77.064015

The stability of squashed Kaluza-Klein black holes is studied. The squashed Kaluza-Klein black hole looks like five dimensional black hole in the vicinity of horizon and four dimensional Minkowski spacetime with a circle at infinity. In this sense, squashed Kaluza-Klein black holes can be regarded as black holes in the Kaluza-Klein spacetimes. Using the symmetry of squashed Kaluza-Klein black holes, $SU(2)\times U(1)\simeq U(2)$, we obtain master equations for a part of the metric perturbations relevant to the stability. The analysis based on the master equations gives a strong evidence for the stability of squashed Kaluza-Klein black holes. Hence, the squashed Kaluza-Klein black holes deserve to be taken seriously as realistic black holes in the Kaluza-Klein spacetime.

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