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arXiv · gr-qc/0405125

Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics

Muraari Vasudevan·Kory A. Stevens·Don N. Page
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Abstract

We study separability of the Hamilton-Jacobi and massive Klein-Gordon equations in the general Kerr-de Sitter spacetime in all dimensions. Complete separation of both equations is carried out in 2n+1 spacetime dimensions with all n rotation parameters equal, in which case the rotational symmetry group is enlarged from (U(1))^n to U(n). We explicitly construct the additional Killing vectors associated with the enlarged symmetry group which permit separation. We also derive first-order equations of motion for particles in these backgrounds and examine some of their properties.

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Muraari Vasudevan, Kory A. Stevens, Don N. Page. 2004-06-01. Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics. https://doi.org/10.1088/0264-9381%2F22%2F2%2F007

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