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