NOTES ON FIVE-DIMENSIONAL KERR BLACK HOLES

NOTES ON FIVE-DIMENSIONAL KERR BLACK HOLES
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DOI:
10.1142/s0217751x06028837
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发表时间:
2005-02
影响因子:
1.6
通讯作者:
M. Sakaguchi;Y. Yasui
M. Sakaguchi;Y. Yasui
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
M. Sakaguchi;Y. Yasui

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基于测地线和Weyl曲率讨论了五维Kerr黑洞的几何性质。利用特殊的零测地线,自然地引入了Kerr-Star空间、Star-Kerr空间和Kruskal空间。我们证明了AdS Kerr黑洞的测地线是可积的,推广了Frolov和Stojkovic的结果.我们还表明,五维AdS Kerr黑洞的Ricci平坦的Kerr黑洞的等谱变形的意义上,保持Weyl曲率的特征值。
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.