Kerr-NUT-de Sitter Curvature in All Dimensions
arXiv:hep-th/0611285 · doi:10.1088/1751-8113/40/7/F01
Abstract
We explicitly calculate the Riemannian curvature of D-dimensional metrics recently discussed by Chen, Lu and Pope. We find that they can be concisely written by using a single function. The Einstein condition which corresponds to the Kerr-NUT-de Sitter metric is clarified for all dimensions. It is shown that the metrics are of type D.
10 pages
Cited by in corpus (22)
- Classification of the Weyl Tensor in Higher Dimensions and Applications
- Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
- Type D Einstein spacetimes in higher dimensions
- Closed conformal Killing-Yano tensor and Kerr-NUT-de Sitter spacetime uniqueness
- Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter spacetime
- On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
- Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
- Higher dimensional Kerr-Schild spacetimes
- 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
- Equal charge black holes and seven dimensional gauged supergravity
- Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
- A Note on Separability of Field Equations in Myers-Perry Spacetimes
- Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes
- Generalized Kerr-NUT-de Sitter metrics in all dimensions
- Kerr-Schild Structure and Harmonic 2-forms on (A)dS-Kerr-NUT Metrics
- Electromagnetic Field in Higher-Dimensional Black-Hole Spacetimes
- Separability of the massive Dirac's equation in 5-dimensional Myers-Perry black hole geometry and its relation to a rank-three Killing-Yano tensor
- Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
- Solving parallel transport equations in the higher-dimensional Kerr-NUT-(A)dS spacetimes
- Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
- Hidden Symmetries and Black Holes