Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
arXiv:0805.3877 · doi:10.1088/0264-9381/26/4/045015
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.
24 pages, LaTeX; v2: references added, published version
References in corpus (15)
- General Kerr-NUT-AdS Metrics in All Dimensions
- Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes
- Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
- Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
- Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
- Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
- Kerr-NUT-de Sitter Curvature in All Dimensions
- Complete Set of Commuting Symmetry Operators for the Klein-Gordon Equation in Generalized Higher-Dimensional Kerr-NUT-(A)dS Spacetimes
- Closed conformal Killing-Yano tensor and geodesic integrability
- Generalized Kerr-NUT-de Sitter metrics in all dimensions
- Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes
- Solving parallel transport equations in the higher-dimensional Kerr-NUT-(A)dS spacetimes