Particle Motion and Scalar Field Propagation in Myers-Perry Black Hole Spacetimes in All Dimensions

Details Particle Motion and Scalar Field Propagation in Myers-Perry Black Hole Spacetimes in All Dimensions Particle Motion and Scalar Field Propagation in Myers-Perry Black Hole Spacetimes in All Dimensions

2004-07-07

arxiv.org/abs/gr-qc/0407030v1

Class.Quant.Grav. 22 (2005) 1469-1482

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, LaTeX2e

Scientific paper

10.1088/0264-9381/22/7/017

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.

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