Stability of Squashed Kaluza-Klein Black Holes
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, , 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.
Keywords
Cite
@article{arxiv.0712.4202,
title = {Stability of Squashed Kaluza-Klein Black Holes},
author = {Masashi Kimura and Keiju Murata and Hideki Ishihara and Jiro Soda},
journal= {arXiv preprint arXiv:0712.4202},
year = {2018}
}
Comments
23 pages, 4 figures, v2: Erratum added to end, v3: changed the figure in Erratum