Stable Bound Orbits of Massless Particles around a Black Ring

Abstract

We study the geodesic motion of massless particles in singly rotating black ring spacetimes. We find stable stationary orbits of massless particles in toroidal spiral shape in the case that the thickness parameter of a black ring is less than a critical value. Furthermore, there exist nonstationary massless particles bounded in a finite region outside the horizon. This is the first example of stable bound orbits of massless particles around a black object.

16 pages, 12 figures

References in corpus (9)

• Bicycling Black Rings
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• Orthogonal black di-ring solution
• Analytic treatment of geodesics in five-dimensional Myers-Perry space--times
• Geodesics and Symmetries of Doubly-Spinning Black Rings
• Geodesic Motion in the Singly Spinning Black Ring Spacetime
• Chaos in Geodesic Motion around a Black Ring
• Stable Bound Orbits around Black Rings
• Particle Motion in the Rotating Black Ring Metric

Cited by in corpus (20)

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• Stable photon orbits in stationary axisymmetric electrovacuum spacetimes
• ISCOs and OSCOs in the presence of positive cosmological constant
• Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
• Dynamics of charged particles moving around Kerr black hole with inductive charge and external magnetic field
• The Stable Trapping Phenomenon for Black Strings and Black Rings and its Obstructions on the Decay of Linear Waves
• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Stable Bound Orbits in Six-dimensional Myers-Perry Black Holes
• Stable circular orbits in higher-dimensional multi-black hole spacetimes
• Stable bound orbits around a supersymmetric black lens
• Strong-field gravitational lensing by black holes
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Classical tests of General Relativity in thick branes
• Stable circular orbits in caged black hole spacetimes
• Stable bound orbits in black lens backgrounds
• Chaotic particle motion around a homogeneous circular ring
• Stable circular orbits in Kaluza-Klein black hole spacetimes
• Stable bound orbits around static Einstein-Gauss-Bonnet black holes
• Stable bound orbits in microstate geometries