Stability of squashed Kaluza-Klein black holes

Journal Article · Sat Mar 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.064015· OSTI ID:21249833

Kimura, Masashi; Ishihara, Hideki ^[1]; Murata, Keiju ^[2]; Soda, Jiro ^[2]

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1. Department of Mathematics and Physics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi, Osaka 558-8585 (Japan)
2. Department of Physics, Kyoto University, Kyoto 606-8501 (Japan)

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)xU(1){approx_equal}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.

• OSTI ID: 21249833
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
DISTURBANCES
EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
KALUZA-KLEIN THEORY
MANY-DIMENSIONAL CALCULATIONS
MINKOWSKI SPACE
PERTURBATION THEORY
SPACE-TIME
STABILITY
SU-2 GROUPS
SYMMETRY
U-1 GROUPS
U-2 GROUPS