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

2005/02/28 by Hari K. Kunduri, James Lucietti
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.71.104021

published as Phys.Rev. D71 (2005) 104021 · 4 pages, RevTeX. v2: minus sign typos in eq. (17) and (18) of published version corrected

arxiv created 2005/09/15 · arxiv updated 2009/12/01

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.

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