A Killing tensor for higher dimensional Kerr-AdS black holes with NUT charge

2006/02/28 by Paul F. Davis, Paul Davis · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/0264-9381/23/10/023

published as Class.Quant.Grav.23:3607-3618,2006 · LaTeX, 14 pages. v2: Typo corrected and equation added. v3: Reference added, introduction expanded, published version

openalex publication_date 2006/04/28 · arxiv created 2006/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this paper, we study the recently discovered family of higher dimensional Kerr-AdS black holes with an extra NUT-like parameter. We show that the inverse metric is additively separable after multiplication by a simple function. This allows us to separate the Hamilton–Jacobi equation, showing that geodesic motion is integrable on this background. The separation of the Hamilton–Jacobi equation is intimately linked to the existence of an irreducible Killing tensor, which provides an extra constant of motion. We also demonstrate that the Klein–Gordon equation for this background is separable.

Citations

• The general Kerr–de Sitter metrics in all dimensions
• Separability of the Hamilton–Jacobi and Klein–Gordon equations in Kerr–de Sitter metrics
• Global Structure of the Kerr Family of Gravitational Fields

Cited by

• Separability of multi-charge black holes in supergravity
• Higher-dimensional black holes: hidden symmetries and separation of variables