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Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui
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 posses…
Generalized Kerr-NUT-de Sitter metrics in all dimensions
Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui
We classify all spacetimes with a closed rank-2 conformal Killing-Yano tensor. They give a generalization of Kerr-NUT-de Sitter spacetimes. The Einstein condition is explicitly sol…
Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui
We study spacetimes with a closed conformal Killing-Yano tensor. It is shown that the D-dimensional Kerr-NUT-de Sitter spacetime constructed by Chen-Lu-Pope is the only spacetime a…
Closed conformal Killing-Yano tensor and geodesic integrability
Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui
Assuming the existence of a single rank-2 closed conformal Killing-Yano tensor with a certain symmetry we show that there exist mutually commuting rank-2 Killing tensors and Killin…