Integrability and the Kerr-(A)dS black hole in five dimensions

Abstract

In this note we prove that the Hamilton-Jacobi equation for a particle in the five dimensional Kerr-(A)dS black hole is separable, for arbitrary rotation parameters. As a result we find an irreducible Killing tensor. We also consider the Klein-Gordon equation in this background and show that this is also separable. Finally we comment on extensions and implications of these results.

4 pages, RevTeX. v2: minus sign typos in eq. (17) and (18) of published version corrected

References in corpus (2)

• Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
• Particle Motion and Scalar Field Propagation in Myers-Perry Black Hole Spacetimes in All Dimensions

Cited by in corpus (1)

• Quantum integrability of quadratic Killing tensors