Separability of multi-charge black holes in supergravity
arXiv:hep-th/0607065 · doi:10.1088/0264-9381/23/23/014
Abstract
In this paper, we show that some five-dimensional rotating black hole solutions of both gauged and ungauged supergravity, with independent rotation parameters and three charges admit separable solutions to the massless Hamilton-Jacobi and Klein-Gordon equations. This allows us to write down a conformal Killing tensor for the spacetime. Conformal Killing tensors obey an equation involving a co-vector field. We find this co-vector field in three specific examples, and also give a general formula for it.
18 pages, Latex. v2: One reference added, minor typos corrected and repeated equation removed. Published version
References in corpus (20)
- D--branes and Spinning Black Holes
- The General Kerr-de Sitter Metrics in All Dimensions
- General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
- General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
- General Kerr-NUT-AdS Metrics in All Dimensions
- Supersymmetric multi-charge AdS_5 black holes
- Particle and light motion in a space-time of a five-dimensional rotating black hole
- Five-Dimensional Gauged Supergravity Black Holes with Independent Rotation Parameters
- Charged Kerr-de Sitter Black Holes in Five Dimensions
- Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions
- Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
- Non-Extremal Rotating Black Holes in Five-Dimensional Gauged Supergravity
- Kerr-de Sitter Black Holes with NUT Charges
- Special symmetries of the charged Kerr-AdS black hole of D=5 minimal gauged supergravity
- Integrability and the Kerr-(A)dS black hole in five dimensions
- Integrability of Particle Motion and Scalar Field Propagation in Kerr-(Anti) de Sitter Black Hole Spacetimes in All Dimensions
- Rotating Black Branes wrapped on Einstein Spaces
- Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity
- A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge
- Separability in Cohomogeneity-2 Kerr-NUT-AdS Metrics
Cited by in corpus (6)
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- Symmetries of supergravity black holes
- Separability of Black Holes in String Theory
- 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
- 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 of black holes in five-dimensional supergravity