Phys. Rev. D 71, 104021 (2005) [5 pages]Integrability and the Kerr-(A)dS black hole in five dimensionsReceived 23 February 2005; published 19 May 2005 In this paper 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.104021
DOI:
10.1103/PhysRevD.71.104021
PACS:
04.50.+h, 04.70.Bw
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