On the Mannheim--Kazanas Solution
Marina--Aura Dariescu, Ciprian Dariescu
TL;DR
This paper analyzes the Mannheim--Kazanas spacetime, showing it can explain flat galactic rotation curves and deriving solutions for massless bosons in this background, contributing to alternative gravity models.
Contribution
It provides a detailed study of the Mannheim--Kazanas metric, linking it to observed galaxy rotation curves and solving the Gordon equation for massless particles in this spacetime.
Findings
Rotational velocity matches observed flat galactic rotation curves.
Solutions to the Gordon equation are expressed in terms of Heun functions.
The effective potential and circular orbits are characterized in this spacetime.
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.
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