Particle motion and scalar field propagation in Myers–Perry black-hole spacetimes in all dimensions

2004/07/07 by Muraari Vasudevan, Kory A. Stevens, Kory A Stevens +2 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/22/7/017

published as Class.Quant.Grav. 22 (2005) 1469-1482 · 16 pages, LaTeX2e

arxiv created 2004/07/07 · openalex publication_date 2005/03/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Separability of the Hamilton–Jacobi and Klein–Gordon equations in Kerr–de Sitter metrics

Cited by

• Thermodynamics of three-dimensional black holes via charged particle absorption
• A Slowly Rotating Black Hole in Horava-Lifshitz Gravity and a 3+1 Dimensional Topological Black Hole: Motion of Particles and BSW Mechanism
• On a lower-dimensional Killing vector origin of irreducible Killing tensors
• NOTES ON FIVE-DIMENSIONAL KERR BLACK HOLES
• Higher-dimensional black holes: hidden symmetries and separation of variables

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• Love symmetry in higher-dimensional rotating black hole spacetimes
• Integrability and the Kerr-(A)dS black hole in five dimensions