Closed conformal Killing–Yano tensor and the uniqueness of generalized Kerr–NUT–de Sitter spacetime
Closed conformal Killing–Yano tensor and the uniqueness of generalized Kerr–NUT–de Sitter spacetime
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DOI：
10.1088/0264-9381/26/4/045015
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发表时间：
2008-05
影响因子：
3.5
通讯作者：
Tsuyoshi Houri;T. Oota;Y. Yasui
中科院分区：
文献类型：
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作者：
Tsuyoshi Houri;T. Oota;Y. Yasui
高维Kerr-NUT-de Sitter时空描述了具有NUT参数的一般渐近旋转的de Sitter黑洞。众所周知，这样的时空具有一个秩为2的闭合共形Killing-Yano(CKY)张量，它是一种“隐藏的”对称性，它为测地线方程和Klein-Gordon方程提供了变量分离。我们给出了一种高维时空的分类，它允许一个秩为2的闭CKY张量。这提供了Kerr-NUT-de Sitter时空的推广。特别地，我们证明了Kerr-NUT-de Sitter时空是唯一具有非简并CKY张量的时空。
The higher-dimensional Kerr–NUT–de Sitter spacetime describes the general rotating asymptotically de Sitter black hole with NUT parameters. It is known that such a spacetime possesses a rank-2 closed conformal Killing–Yano (CKY) tensor as a ‘hidden’ symmetry which provides the separation of variables for the geodesic equations and Klein–Gordon equations. We present a classification of higher-dimensional spacetimes admitting a rank-2 closed CKY tensor. This provides a generalization of the Kerr–NUT–de Sitter spacetime. In particular, we show that the Kerr–NUT–de Sitter spacetime is the only spacetime with a non-degenerate CKY tensor.