Dynamics of test particles in the five-dimensional, charged, rotating EMCS spacetime
General Relativity and Quantum Cosmology
2016-12-07 v2
Abstract
We derive the complete set of geodesic equations for massive and massless test particles of a five-dimensional, charged, rotating black hole solution of the Einstein-Maxwell-Chern-Simons field equations in five-dimensional minimal gauged supergravity and present their analytical solutions in terms of Weierstra{\ss}' elliptic functions. We study the polar and radial motion, depending on the black hole and test particle parameters, and characterize the test particle motion qualitatively by the means of effective potentials. We use the analytical solutions in order to visualize the test particle motion by two- and three-dimensional plots.
Keywords
Cite
@article{arxiv.1609.03557,
title = {Dynamics of test particles in the five-dimensional, charged, rotating EMCS spacetime},
author = {Stephan Reimers and Shruti Paranjape},
journal= {arXiv preprint arXiv:1609.03557},
year = {2016}
}
Comments
15 pages. (Added references, corrected typos)