Generalized Kerr-NUT-de Sitter metrics in all dimensions


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 solved and written as an indefinite integral. It is characterized by a polynomial in the integrand. We briefly discuss the smoothness conditions of the Einstein metrics over compact Riemannian manifolds. ∗ † ‡

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@inproceedings{Houri2008GeneralizedKS, title={Generalized Kerr-NUT-de Sitter metrics in all dimensions}, author={Tsuyoshi Houri and Takeshi Oota and Yukinori Yasui}, year={2008} }