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Phys. Rev. D 71, 104021 (2005) [5 pages]

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

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Hari K. Kunduri * and James Lucietti †
DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom

Received 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

* Electronic address: H.K.Kunduri@damtp.cam.ac.uk
† Electronic address: J.Lucietti@damtp.cam.ac.uk

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