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

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

2008-05-26

arxiv.org/abs/0805.3877v2

Class.Quant.Grav.26:045015,2009

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX; v2: references added, published version

Scientific paper

10.1088/0264-9381/26/4/045015

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.

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