A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge
High Energy Physics - Theory
2009-11-11 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.hep-th/0602118,
title = {A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge},
author = {Paul Davis},
journal= {arXiv preprint arXiv:hep-th/0602118},
year = {2009}
}
Comments
LaTeX, 14 pages. v2: Typo corrected and equation added. v3: Reference added, introduction expanded, published version