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Applications of Nash's Theorem to Cosmology
M. D. Maia
The cosmological constant problem is seen as a symptom of the ambiguity of the Riemann curvature in general relativity. The solution of that ambiguity provided by Nash's theorem on…
Velocity Curves for Stars in Disk Galaxies: A case for Nearly Newtonian Dynamics
M. D. Maia, A. J. S. Capistrano, D. Mulller
The dark matter constraint imposed by the recent WMAP experiment on gravitational theories is analyzed. Using the non-linearity of the vacuum Einstein's equations, it is shown that…
Covariant Analysis of Experimental Constraints on the Brane-world
M. D. Maia, E. M. Monte
Some observational constraints on the brane-world based on predictions from specific models in five dimensions, have been recently reported, both on local and cosmological scales.…
The accelerating universe in brane-world cosmology
M. D. Maia, Edmundo M. Monte, J. M. F. Maia
The standard Friedmann universe embedded in a five dimensional and constant curvature bulk is examined without any a priori junction condition between the brane and the bulk. A geo…