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arXiv · 0805.3877

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

Tsuyoshi Houri·Takeshi Oota·Yukinori Yasui
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Abstract

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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Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui. 2009-02-24. Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime. https://doi.org/10.1088/0264-9381%2F26%2F4%2F045015

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