Perturbed Keplerian Behavior in Spiral Galaxies Described by the Mannheim-Kazanas Metric

The aim of this paper is to analyze the Gordon equation for the Mannheim-Kazanas metric which contains, besides the Schwarzschild solution, two other additional contributions. This metric is offering an explanation for the flat galactic velocity curves, without requiring dark matter. The test particle orbiting the galaxy center will feel not only the matter of the Galaxy, but also the cosmological background which is acting like a perturbation.