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

References in corpus (10)

• Complete Integrability of Geodesic Motion 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
• Dynamics and Stability of Black Rings
• Geodesics and Symmetries of Doubly-Spinning Black Rings
• Geodesic Motion in the Singly Spinning Black Ring Spacetime
• 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