On the Mannheim--Kazanas Solution
arXiv:2104.11950 · doi:10.1007/s10509-021-03949-z
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.
11 pages, 2 figures, Accepted for publication in Astrophysics and Space Science