Table of Contents
ISRN High Energy Physics
Volume 2013 (2013), Article ID 713508, 9 pages
Research Article

Gravity with Extra Dimensions and Dark Matter Interpretation: A Straightforward Approach

1Universidade Federal do Paraná (UFPR), Campus Palotina, 85950-000 Palotina, PR, Brazil
2Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-170 Santo André, SP, Brazil

Received 8 May 2013; Accepted 6 June 2013

Academic Editors: G. A. Alves, G. Bonvicini, C. A. D. S. Pires, and A. Koshelev

Copyright © 2013 C. H. Coimbra Araújo and Roldão da Rocha. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Any connection between dark matter and extra dimensions can be cognizably evinced from the associated effective energy-momentum tensor. In order to investigate and test such relationship, a higher dimensional spacetime endowed with a factorizable general metric is regarded to derive a general expression for the stress tensor—from the Einstein-Hilbert action—and to elicit the effective gravitational potential. A particular construction for the case of six dimensions is provided, and it is forthwith revealed that the missing mass phenomenon may be explained, irrespective of the dark matter existence. Moreover, the existence of extra dimensions in the universe accrues the possibility of a straightforward mechanism for such explanation. A configuration whose density profile coincides with the Newtonian potential for spiral galaxies is constructed, from a 4-dimensional isotropic metric plus extradimensional components. A Miyamoto-Nagai ansatz is used to solve Einstein equations. The stable rotation curves associated with such system are computed, in full compliance with the observational data, without fitting techniques. The density profiles are reconstructed and compared to the ones obtained from the Newtonian potential.