Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime

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dc.creatorHouri, Tsuyoshi
dc.creatorOota, Takeshi
dc.creatorYasui, Yukinori
dc.date2008-05-26
dc.date2009-02-24
dc.date.accessioned2026-07-07T12:45:19Z
dc.date.available2026-07-07T12:45:19Z
dc.descriptionThe 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.
dc.description24 pages, LaTeX; v2: references added, published version
dc.identifierhttps://arxiv.org/abs/0805.3877
dc.identifierhttp://arxiv.org/abs/0805.3877
dc.identifierClass.Quant.Grav.26:045015,2009
dc.identifierdoi:10.1088/0264-9381/26/4/045015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221048
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleClosed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
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