Parameterizing the flattening of galaxies rotation curves on an
  expanding locally anisotropic background
  In this paper are discussed possible many body generalizations of the
expanding locally anisotropic metric ansatz with respect to approximately
Newtonian gravitational systems. This ansatz consistently 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 modeled 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. In addition it is numerically computed the
mass-energy density corrections due to the expanding anisotropic background and
explicitly shown that although there are negative contributions within the
galaxy plane the total mass-energy density is strictly positive both at the
galaxy plane and outside the galaxy plane. As the functional parameter for this
metric is an exponential factor is required a floating point precision of $250$
significant digits for root finding routines and $200$ significant digits to
evaluate the effective mass-energy density rendering a final precision of the
results presented above double precision ($16$ significant digits).
  It is further shown that these results are consistent with the interpretation
of the gravitational corrections as due to Dark Matter, in particular
constituting a novel heuristic local parameterization for the Dark Matter
distribution within the galaxy plane consistent with both local scale and
cosmological scale physical laws which is useful to further investigate the
local properties of Dark Matter.
