Muraari Vasudevan et al 2005 Class. Quantum Grav. 22 339 doi:10.1088/0264-9381/22/2/007
Muraari Vasudevan, Kory A Stevens and Don N Page
Show affiliationsWe study separability of the Hamilton–Jacobi and massive Klein–Gordon equations in the general Kerr–de Sitter spacetime in higher 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.
04.70.-s Physics of black holes
04.20.-q Classical general relativity
04.25.-g Approximation methods; equations of motion
04.50.-h Higher-dimensional gravity and other theories of gravity
Issue 2 (21 January 2005)
Received 12 August 2004, in final form 23 November 2004
Published 29 December 2004
Muraari Vasudevan et al 2005 Class. Quantum Grav. 22 339
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