Integrability and the Kerr-(A)dS black hole in five dimensions

Details Integrability and the Kerr-(A)dS black hole in five dimensions Integrability and the Kerr-(A)dS black hole in five dimensions

2005-02-14

arxiv.org/abs/hep-th/0502124v2

Phys.Rev. D71 (2005) 104021

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, RevTeX. v2: minus sign typos in eq. (17) and (18) of published version corrected

Scientific paper

10.1103/PhysRevD.71.104021

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.

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