Geodesic Motion in the Singly Spinning Black Ring Spacetime
Saskia Grunau, Valeria Kagramanova, Jutta Kunz, Claus L\"ammerzahl
TL;DR
This paper derives analytical solutions for the paths of particles and light in a five-dimensional black ring spacetime, revealing orbit characteristics despite the complexity of the equations.
Contribution
It provides the first analytical solutions for geodesics in singly spinning black ring spacetimes for special cases, advancing understanding of higher-dimensional black hole geometries.
Findings
Characterization of test particle and light orbits
Analytical solutions for special geodesic cases
Insights into motion in higher-dimensional black holes
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.
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