Separability of multi-charge black holes in supergravity

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 (7)

• General Kerr-NUT-AdS Metrics in All Dimensions
• Supersymmetric multi-charge AdS_5 black holes
• Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
• Non-Extremal Rotating Black Holes in Five-Dimensional Gauged Supergravity
• Integrability and the Kerr-(A)dS black hole in five dimensions
• 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 (3)

• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS 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
• Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background