Geometrical aspects on the dark matter problem
General Relativity and Quantum Cosmology
2015-06-18 v1
Abstract
In the present paper we apply the Nash's theory of perturbative geometry to the study of dark matter gravity in a higher-dimensional space-time. It is shown that the dark matter gravitational perturbations at local scale can be explained by the extrinsic curvature of the standard cosmology. In order to test our model, we use a spherically symmetric metric embedded in a five-dimensional bulk. As a result, considering a sample of 10 low surface brightness and 6 high surface brightness galaxies, we find a very good agreement with the observed rotation curves of smooth hybrid alpha-HI measurements.
Cite
@article{arxiv.1311.6688,
title = {Geometrical aspects on the dark matter problem},
author = {A. J. S Capistrano and L. A. Cabral},
journal= {arXiv preprint arXiv:1311.6688},
year = {2015}
}
Comments
16 figures, 15 pages