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

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

2004-05-26

arxiv.org/abs/gr-qc/0405125v2

Class.Quant.Grav. 22 (2005) 339-352

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX2e. Corrected minor misprints

Scientific paper

10.1088/0264-9381/22/2/007

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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