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arXiv · 0712.4202

Stability of Squashed Kaluza-Klein Black Holes

Masashi Kimura·Keiju Murata·Hideki Ishihara·Jiro Soda
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Abstract

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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Masashi Kimura, Keiju Murata, Hideki Ishihara, Jiro Soda. 2018-09-18. Stability of Squashed Kaluza-Klein Black Holes. https://doi.org/10.1103/physrevd.77.064015

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