Abstract. We study separability of the Hamilton–Jacobi and massive Klein–Gordon equations in the general Myers–Perry black-hole background in all dimensions. Complete separation of both equations is carried out in cases when there are two sets of equal black-hole rotation parameters, which significantly enlarges the rotational symmetry group. We explicitly construct a nontrivial irreducible Killing tensor associated with the enlarged symmetry group which permits separation. We also derive first-order equations of motion for particles in these backgrounds and examine some of their properties.

PACS numbers: 04.50.-h, 98.80.Cq

Print publication: Issue 7 (7 April 2005)
Received 2 November 2004, in final form 24 February 2005
Published 17 March 2005