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

Paul Davis
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Abstract

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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Paul Davis. 2006-05-01. A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge. https://doi.org/10.1088/0264-9381%2F23%2F10%2F023

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