Integrability and the Kerr-(A)dS black hole in five dimensions
High Energy Physics - Theory
2007-05-23 v2
Abstract
In this note we prove that the Hamilton-Jacobi equation for a particle in the five dimensional Kerr-(A)dS black hole is separable, for arbitrary rotation parameters. As a result we find an irreducible Killing tensor. We also consider the Klein-Gordon equation in this background and show that this is also separable. Finally we comment on extensions and implications of these results.
Keywords
Cite
@article{arxiv.hep-th/0502124,
title = {Integrability and the Kerr-(A)dS black hole in five dimensions},
author = {Hari K. Kunduri and James Lucietti},
journal= {arXiv preprint arXiv:hep-th/0502124},
year = {2007}
}
Comments
4 pages, RevTeX. v2: minus sign typos in eq. (17) and (18) of published version corrected