Notes on Five-dimensional Kerr Black Holes
高能物理 - 理论
2009-11-11 v2 广义相对论与量子宇宙学
微分几何
摘要
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.
引用
@article{arxiv.hep-th/0502182,
title = {Notes on Five-dimensional Kerr Black Holes},
author = {Makoto Sakaguchi and Yukinori Yasui},
journal= {arXiv preprint arXiv:hep-th/0502182},
year = {2009}
}
备注
23 pages, 5 figures; analyses on the Weyl curvature of AdS Kerr black holes are extended, an appendix and references are added