1006.1619 (P. Castelo Ferreira)
P. Castelo Ferreira
In this work are discussed possible generalizations of the expanding locally anisotropic metric ansatz with respect to approximately Newtonian many body gravitational systems. This ansatz describes local point-like matter distributions on the expanding Universe also allowing for a covariant parameterization of gravitational interactions at intermediate length scales. As an example of applicability it is modelled a disk galaxy model matching the physical parameters of the galaxy UGC2885 and it is shown that, by fine-tuning the metric functional parameter, the flattening of the galaxy rotation curve is fully parameterized by this metric. It is further analysed the mass-energy density corrections due to the expanding anisotropic background being shown that although there are negative contributions within the galaxy plane the total mass-energy density is strictly positive. Outside the galaxy plane, by considering an anisotropic functional parameter, it is shown that the mass-energy density is also strictly positive.
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http://arxiv.org/abs/1006.1619
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