Geometrical aspects on the dark matter problem
arXiv:1311.6688 · doi:10.1016/j.aop.2014.05.013
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.
arXiv comment16 figures, 15 pages
References in corpus (24)
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
- Non-conventional cosmology from a brane-universe
- Alternatives to Dark Matter and Dark Energy
- The Ursa Major Cluster of Galaxies. IV ; HI synthesis observations
- Galaxy Rotation Curves Without Non-Baryonic Dark Matter
- Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
- Fitting galactic rotation curves with conformal gravity and a global quadratic potential
- Rotation curves of UMa galaxies in the context of modified Newtonian dynamics
- Can Cosmic Structure form without Dark Matter?
- On the Geometry of Dark Energy
- Generic junction conditions in brane-world scenarios
- Observational constraints on braneworld inflation: the effect of a Gauss-Bonnet term
- Geometry of Brane-Worlds
- Anisotropic brane gravity with a confining potential
- Brane Quintessence
- Classical tests in brane gravity
- Cardassian Expansion: Dark Energy Density from Modified Friedmann Equations
- The Deformable Universe
- Brane-world Quantum Gravity
- Reformulation and Interpretation of SMS Braneworld