Geodesic Motion in the (Charged) Doubly Spinning Black Ring Spacetime

Abstract

In this article we analyze the geodesics of test particles and light in the five dimensional (charged) doubly spinning black ring spacetime. Apparently it is not possible to separate the Hamilton-Jacobi-equation for (charged) doubly spinning black rings in general, so we concentrate on special cases: null geodesics in the ergosphere and geodesics on the two rotational axes of the (charged) doubly spinning black ring. We present analytical solutions to the geodesic equations for these special cases. Using effective potential techniques we study the motion of test particles and light and discuss the corresponding orbits.

arXiv admin note: substantial text overlap with arXiv:1208.2548

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• 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
• 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
• Investigation the geodesic motion of three dimensional rotating black holes
• Geodesic motion in R- charged black hole space-times
• Geodesic equations for particles and light in the black spindle spacetime
• Analytical time-like geodesics in modified Hayward black hole space-time
• Integrability of Particle System around a Ring Source as the Newtonian Limit of a Black Ring
• On spinless null propagation in five dimensional space-times with approximate space-like Killing symmetry
• Hyperelliptic functions and motion in general relativity