Generalized Kerr-NUT-de Sitter metrics in all dimensions
High Energy Physics - Theory
2008-11-26 v3 Differential Geometry
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.
Cite
@article{arxiv.0805.0838,
title = {Generalized Kerr-NUT-de Sitter metrics in all dimensions},
author = {Tsuyoshi Houri and Takeshi Oota and Yukinori Yasui},
journal= {arXiv preprint arXiv:0805.0838},
year = {2008}
}
Comments
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