<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

“Alexandru Ioan Cuza” University of Iaşi

“Alexandru Ioan Cuza” University of Iasi

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The aim of this paper is to analyze the Gordon equation for the Mannheim-Kazanas metric which contains, besides the Schwarzschild solution, two other...

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

Publié en ligne: 18 févr. 2022

Pages: 31 - 41

Reçu: 17 févr. 2021

Accepté: 31 mars 2021

DOI: https://doi.org/10.2478/bipmf-2021-0003

Mots clés
Mannheim-Kazanas Spacetime, Spiral galaxy, Black Holes, Gordon equation, Heun functions

© 2021 Vitalie Lungu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Publié en ligne: 18 févr. 2022

Pages: 31 - 41

Reçu: 17 févr. 2021

Accepté: 31 mars 2021

DOI: https://doi.org/10.2478/bipmf-2021-0003

Mots clésMannheim-Kazanas Spacetime, Spiral galaxy, Black Holes, Gordon equation, Heun functions

© 2021 Vitalie Lungu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Mannheim-Kazanas Spacetime, Spiral galaxy, Black Holes, Gordon equation, Heun functions