Analytic treatment of geodesics in five-dimensional Myers-Perry space--times
General Relativity and Quantum Cosmology
2015-06-11 v2
Abstract
We present the complete set of analytical solutions of the geodesic equation in the five-dimensional Myers-Perry space-time with equal rotation parameter in terms of the Weierstra{\ss}' elliptic and Weierstra{\ss}' zeta and sigma functions. We study the underlying polynomials in the polar and radial equations which depend on the parameters of the metric and conserved quantities of a test particle and characterize the motion by their zeros. We exemplify the efficiency of the analytical method on the orbits of test particles.
Keywords
Cite
@article{arxiv.1208.3686,
title = {Analytic treatment of geodesics in five-dimensional Myers-Perry space--times},
author = {Valeria Kagramanova and Stephan Reimers},
journal= {arXiv preprint arXiv:1208.3686},
year = {2015}
}
Comments
15 pages, 7 figures, to be published in PRD. Version with improved references