Separability of multi-charge black holes in supergravity

Details Separability of multi-charge black holes in supergravity Separability of multi-charge black holes in supergravity

2006-07-11

arxiv.org/abs/hep-th/0607065v2

Class.Quant.Grav.23:6829-6844,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Latex. v2: One reference added, minor typos corrected and repeated equation removed. Published version

Scientific paper

10.1088/0264-9381/23/23/014

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.

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