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
References in corpus (11)
- Rotation and the AdS/CFT correspondence
- The General Kerr-de Sitter Metrics in All Dimensions
- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- New Einstein-Sasaki Spaces in Five and Higher Dimensions
- Classification of the Weyl Tensor in Higher Dimensions
- General Kerr-NUT-AdS Metrics in All Dimensions
- Toric Sasaki-Einstein metrics on S^2 x S^3
- Kerr-de Sitter Black Holes with NUT Charges
- Explicit Toric Metric on Resolved Calabi-Yau Cone
- Sasaki-Einstein Twist of Kerr-AdS Black Holes
- Resolutions of Cones over Einstein-Sasaki Spaces
Cited by in corpus (57)
- Black holes, hidden symmetries, and complete integrability
- Classification of the Weyl Tensor in Higher Dimensions and Applications
- Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
- Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions
- Hidden Symmetries of Higher Dimensional Black Holes and Uniqueness of the Kerr-NUT-(A)dS spacetime
- Algebraic classification of higher dimensional spacetimes based on null alignment
- 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
- Generalized Killing-Yano equations in D=5 gauged supergravity
- Charged particle in higher dimensional weakly charged rotating black hole spacetime
- Generalized hidden symmetries and the Kerr-Sen black hole
- Closed conformal Killing-Yano tensor and geodesic integrability
- Complete Set of Commuting Symmetry Operators for the Klein-Gordon Equation in Generalized Higher-Dimensional Kerr-NUT-(A)dS Spacetimes
- Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization of Separability in All Dimensions
- Equal charge black holes and seven dimensional gauged supergravity
- Kerr-Schild spacetimes with (A)dS background
- Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
- Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes
- A Note on Separability of Field Equations in Myers-Perry Spacetimes
- Killing-Yano tensors and multi-hermitian structures
- Symmetries of supergravity black holes
- 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 Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
- Perturbations of higher-dimensional 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
- Instability of higher dimensional extreme black holes
- Aligned Fields Double Copy to Kerr-NUT-(A)dS
- Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
- On asymptotically flat algebraically special spacetimes in higher dimensions
- On the supersymmetric limit of Kerr-NUT-AdS metrics
- Solving parallel transport equations in the higher-dimensional Kerr-NUT-(A)dS spacetimes
- Local metrics admitting a principal Killing-Yano tensor with torsion
- Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
- Weak electromagnetic field admitting integrability in Kerr-NUT-(A)dS spacetimes
- General Wahlquist Metrics in All Dimensions
- Algebraically special perturbations of the Schwarzschild solution in higher dimensions
- Killing-Yano forms and Killing tensors on a warped space
- NUT-like and near-horizon limits of Kerr-NUT-(A)dS spacetimes
- Cartan Invariants and Event Horizon Detection, Extended Version
- On the uniqueness of the Myers-Perry spacetime as a type II(D) solution in six dimensions
- Conformally Coupled Scalar in Rotating Black Hole Spacetimes
- New Metrics Admitting the Principal Killing-Yano Tensor
- Electron in higher-dimensional weakly charged rotating black hole spacetimes
- Exact Solutions of General Relativity and Quadratic Gravity in Arbitrary Dimension
- Hidden Symmetries and Black Holes
- Kerr-AdS type higher dimensional black holes with non-spherical cross-sections of horizons
- Applications of hidden symmetries to black hole physics
- On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
- On well-posedness and algebraic type of the five-dimensional charged rotating black hole with two equal-magnitude angular momenta
- On type II(D) Einstein spacetimes in six dimensions
- Symmetry operators for the conformal wave equation in rotating black hole spacetimes