Special symmetries of the charged Kerr-AdS black hole of D=5 minimal gauged supergravity

Details Special symmetries of the charged Kerr-AdS black hole of D=5 minimal gauged supergravity Special symmetries of the charged Kerr-AdS black hole of D=5 minimal gauged supergravity

2005-08-23

arxiv.org/abs/hep-th/0508169v2

Phys.Lett. B628 (2005) 275-280

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, Latex. v2, two references added and discussion of near horizon limit corrected and expanded

Scientific paper

10.1016/j.physletb.2005.09.062

In this note we prove that the Hamilton-Jacobi equation in the background of the recently discovered charged Kerr-AdS black hole of D=5 minimal gauged supergravity is separable, for arbitrary values of the two rotation parameters. This allows us to write down an irreducible Killing tensor for the spacetime. As a result we also show that the Klein-Gordon equation in this background is separable. We also consider the Dirac equation in this background in the special case of equal rotation parameters and show it has separable solutions. Finally we discuss the near-horizon geometry of the supersymmetric limit of the black hole.

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