Stability of squashed Kaluza-Klein black holes

Masashi Kimura; Keiju Murata; Hideki Ishihara; Jiro Soda

doi:10.1103/PhysRevD.77.064015

Stability of squashed Kaluza-Klein black holes

Masashi Kimura, Keiju Murata, Hideki Ishihara, Jiro Soda

Department of Business and Commerce

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

The stability of squashed Kaluza-Klein black holes is studied. The squashed Kaluza-Klein black hole looks like a five-dimensional black hole in the vicinity of horizon and looks like a 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)×U(1) 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 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.

Original language	English
Article number	064015
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	77
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.77.064015
Publication status	Published - 2008 Mar 11

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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abstract = "The stability of squashed Kaluza-Klein black holes is studied. The squashed Kaluza-Klein black hole looks like a five-dimensional black hole in the vicinity of horizon and looks like a 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)×U(1) 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 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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AU - Soda, Jiro

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