Notes on Five-dimensional Kerr Black Holes

Details Notes on Five-dimensional Kerr Black Holes Notes on Five-dimensional Kerr Black Holes

2005-02-21

arxiv.org/abs/hep-th/0502182v2

Int.J.Mod.Phys. A21 (2006) 2331-2352

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 5 figures; analyses on the Weyl curvature of AdS Kerr black holes are extended, an appendix and references are added

Scientific paper

10.1142/S0217751X06028837

The geometry of five-dimensional Kerr black holes is discussed based on geodesics and Weyl curvatures. Kerr-Star space, Star-Kerr space and Kruskal space are naturally introduced by using special null geodesics. We show that the geodesics of AdS Kerr black hole are integrable, which generalizes the result of Frolov and Stojkovic. We also show that five-dimensional AdS Kerr black holes are isospectrum deformations of Ricci-flat Kerr black holes in the sense that the eigenvalues of the Weyl curvature are preserved.

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