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 | |
| Publication status | Published - 2008 Mar 11 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics
Cite this
Stability of squashed Kaluza-Klein black holes. / Kimura, Masashi; Murata, Keiju; Ishihara, Hideki; Soda, Jiro.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 77, No. 6, 064015, 11.03.2008.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability of squashed Kaluza-Klein black holes
AU - Kimura, Masashi
AU - Murata, Keiju
AU - Ishihara, Hideki
AU - Soda, Jiro
PY - 2008/3/11
Y1 - 2008/3/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=41449105182&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=41449105182&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.77.064015
DO - 10.1103/PhysRevD.77.064015
M3 - Article
VL - 77
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 6
M1 - 064015
ER -