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arXiv · 0805.0838

Generalized Kerr-NUT-de Sitter metrics in all dimensions

Tsuyoshi Houri·Takeshi Oota·Yukinori Yasui
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Abstract

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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Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui. 2008-09-18. Generalized Kerr-NUT-de Sitter metrics in all dimensions. https://doi.org/10.1016/j.physletb.2008.07.075

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