On the Mannheim--Kazanas Solution
General Relativity and Quantum Cosmology
2021-05-19 v1 High Energy Astrophysical Phenomena
Abstract
We are considering the spacetime described by the metric proposed by Mannheim and Kazanas. The effective potential and the circular orbits are discussed. The rotational velocity derived from the geodesics equation agrees with the observed flat galactic rotation curves. Finally, solutions to the Gordon equation for massless bosons evolving in this spacetime are obtained in terms of Heun general functions.
Keywords
Cite
@article{arxiv.2104.11950,
title = {On the Mannheim--Kazanas Solution},
author = {Marina--Aura Dariescu and Ciprian Dariescu},
journal= {arXiv preprint arXiv:2104.11950},
year = {2021}
}
Comments
11 pages, 2 figures, Accepted for publication in Astrophysics and Space Science