Generalized Kerr-NUT-de Sitter metrics in all dimensions

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. ∗ houri@sci.osaka-cu.ac.jp † toota@sci.osaka-cu.ac.jp ‡ yasui@sci.osaka-cu.ac.jp

Cite this paper

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