Generalized Kerr-NUT-de Sitter metrics in all dimensions
arXiv:0805.0838 · doi:10.1016/j.physletb.2008.07.075
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.
12 pages, LaTeX; v2: Einstein conditions for general type included, with slight modification of text, typos corrected; v3: references added, typos corrected, the version published in Physics Letters B
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