Separability of multi-charge black holes in supergravity
High Energy Physics - Theory
2009-11-11 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.hep-th/0607065,
title = {Separability of multi-charge black holes in supergravity},
author = {Paul Davis},
journal= {arXiv preprint arXiv:hep-th/0607065},
year = {2009}
}
Comments
18 pages, Latex. v2: One reference added, minor typos corrected and repeated equation removed. Published version