A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge

Details A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge

2006-02-13

arxiv.org/abs/hep-th/0602118v3

Class.Quant.Grav.23:3607-3618,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 14 pages. v2: Typo corrected and equation added. v3: Reference added, introduction expanded, published version

Scientific paper

10.1088/0264-9381/23/10/023

In this paper, we study the recently discovered family of higher dimensional Kerr-AdS black holes with an extra NUT-like parameter. We show that the inverse metric is additively separable after multiplication by a simple function. This allows us to separate the Hamilton-Jacobi equation, showing that geodesic motion is integrable on this background. The separation of the Hamilton-Jacobi equation is intimately linked to the existence of an irreducible Killing tensor, which provides an extra constant of motion. We also demonstrate that the Klein-Gordon equation for this background is separable.

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