期刊
CLASSICAL AND QUANTUM GRAVITY
卷 26, 期 4, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/26/4/045015
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资金
- Japan Ministry of Education [19540304, 19540098, 20540278]
- Grants-in-Aid for Scientific Research [20540278, 19540098, 19540304] Funding Source: KAKEN
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 conformalKilling-Yano (CKY) tensor as a 'hidden' symmetrywhich 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.
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