Particle and light motion in a space-time of a five-dimensional rotating black hole

2003/01/31 by Valeri P. Frolov, Valeri Frolov, Dejan Stojković +1 · 11 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Geology #Motion (physics) #Particle (ecology) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Space (punctuation) #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.68.064011

published as Phys.Rev. D68 (2003) 064011 · Added discussion about (non)existence of stable circular orbits. Accepted for publication in Phys. Rev. D

arxiv created 2003/08/07 · openalex publication_date 2003/09/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the motion of particles and light in a space-time of a five-dimensional rotating black hole. We demonstrate that the Myers-Perry metric describing such a black hole, in addition to three Killing vectors, also possesses a Killing tensor. As a result, the Hamilton-Jacobi equations of motion allow a separation of variables. Using first integrals we present the equations of motion in the first-order form. We describe different types of motion of particles and light and study some interesting special cases. We prove that there are no stable circular orbits in equatorial planes in the background of this metric.

Citations

• Special Properties of Five Dimensional BPS Rotating Black Holes
• Schwarzschild field inn dimensions and the dimensionality of space problem
• Black Hole Evaporation with Separated Fermions
• Black holes from cosmic rays: Probes of extra dimensions and new limits on TeV-scale gravity
• Classical and quantum cross-section for black hole production in particle collisions
• Black holes at neutrino telescopes
• Black holes on cylinders are not algebraically special
• Calculable corrections to brane black hole decay: The scalar case
• Black hole production at the CERN LHC: String balls and black holes fromppand lead-lead collisions
• Black Hole as a Point Radiator and Recoil Effect on the Brane World
• The Hierarchy Problem and New Dimensions at a Millimeter
• Global Structure of the Kerr Family of Gravitational Fields

Cited by

• Exotic neutrino interactions at the Pierre Auger Observatory
• Extra dimensions at the CERN LHC via mini-black holes: Effective Kerr-Newman brane-world effects
• Black holes at the IceCube neutrino telescope
• Separability of multi-charge black holes in supergravity
• Integrability of particle system around a ring source as the Newtonian limit of a black ring
• Brane world black rings
• Circular motion and energy extraction in a rotating black hole
• Quasinormal modes of Dirac spinors in the background of rotating black holes in four and five dimensions
• NOTES ON FIVE-DIMENSIONAL KERR BLACK HOLES
• Higher-dimensional black holes: hidden symmetries and separation of variables
• Spherical photon orbits around a 5D Myers–Perry black hole
• High-velocity collision of two black holes