Geodesic Motion in the Singly Spinning Black Ring Spacetime

Abstract

We present analytical solutions of the geodesic equations of test particles and light in the five dimensional singly spinning black ring spacetime for special cases, since it does not appear possible to separate the Hamilton-Jacobi-equation for singly spinning black rings in general. Based on the study of the polynomials in the equations of motion we characterize the motion of test particles and light and discuss the associated orbits.

Changed some figures and captions according to a request of Phys. Rev. D

References in corpus (21)

• A rotating black ring in five dimensions
• Black Holes in Higher Dimensions
• A supersymmetric black ring
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• Supersymmetric black rings and three-charge supertubes
• Black Rings
• Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
• Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
• Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• Hidden Symmetry of Higher Dimensional Kerr-NUT-AdS Spacetimes
• A Charged Rotating Black Ring
• Dynamics and Stability of Black Rings
• Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in General Relativity
• Geodesics and Symmetries of Doubly-Spinning Black Rings
• Stable Bound Orbits around Black Rings
• Chaos in Geodesic Motion around a Black Ring
• Particle Motion in the Rotating Black Ring Metric
• A Charged Doubly Spinning Black Ring
• Three-charge 2J black ring
• Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring

Cited by in corpus (24)

• Analytical solutions of the geodesic equation in the spacetime of a black hole in f(R) gravity
• Null Geodesics and Observables around Kerr-Sen Black Hole
• Dynamics of test particles in the general five-dimensional Myers-Perry spacetime
• Motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime and analytical solutions
• Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the rotating charged black hole spacetime in $f(R)$ gravity
• Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes
• Geodesic motion in the (rotating) black string spacetime
• Geodesic Motion in the (Charged) Doubly Spinning Black Ring Spacetime
• Stable Bound Orbits of Massless Particles around a Black Ring
• Study of the geodesic equations of a spherical symmetric spacetime in conformal gravity
• Analytic treatment of complete geodesics in a static cylindrically symmetric conformal spacetime
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Imaging Higher Dimensional Black Objects
• Matter Accretion onto a Conformal Gravity Black Hole
• Geodesic motion in R- charged black hole space-times
• Stable circular orbits in higher-dimensional multi-black hole spacetimes
• Geodesic equations for particles and light in the black spindle spacetime
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• Stable circular orbits in caged black hole spacetimes
• Analytical time-like geodesics in modified Hayward black hole space-time
• Particle dynamics in the Newtonian potential sourced by a homogeneous circular ring
• Post-Minkowskian solution for the small-deflection motion of test particles in Kerr-Newman spacetime
• Chaotic particle motion around a homogeneous circular ring
• Hyperelliptic functions and motion in general relativity