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

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.

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

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