Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
High Energy Physics - Theory
2009-02-24 v2 Differential Geometry
Abstract
The higher-dimensional Kerr-NUT-de Sitter spacetime describes the general rotating asymptotically de Sitter black hole with NUT parameters. It is known that such a spacetime possesses a rank-2 closed conformal Killing-Yano (CKY) tensor as a ``hidden'' symmetry which provides the separation of variables for the geodesic equations and Klein-Gordon equations. We present a classification of higher-dimensional spacetimes admitting a rank-2 closed CKY tensor. This provides a generalization of the Kerr-NUT-de Sitter spacetime. In particular, we show that the Kerr-NUT-de Sitter spacetime is the only spacetime with a non-degenerate CKY tensor.
Keywords
Cite
@article{arxiv.0805.3877,
title = {Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime},
author = {Tsuyoshi Houri and Takeshi Oota and Yukinori Yasui},
journal= {arXiv preprint arXiv:0805.3877},
year = {2009}
}
Comments
24 pages, LaTeX; v2: references added, published version