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Abstract
Recently a new -quantum motivated- theory of gravity has been proposed that modifies
the standard Newtonian potential at large distances when spherical symmetry is considered.
Accordingly, Newtonian gravity is altered by adding an extra Rindler acceleration
term that has to be phenomenologically determined. Here we consider a standard and
a power-law generalization of the Rindler modified Newtonian potential. The new terms
in the gravitational potential are hypothesized to play the role of dark matter in
galaxies. Our galactic model includes the mass of the integrated gas, and stars for
which we consider three stellar mass functions (Kroupa, diet-Salpeter, and free mass
model). We test this idea by fitting rotation curves of seventeen low surface brightness
galaxies from The HI Nearby Galaxy Survey (THINGS). We find that the Rindler parameters
do not perform a suitable fit to the rotation curves in comparison to standard dark
matter profiles (Navarro-Frenk-White and Burkert) and, in addition, the computed parameters
of the Rindler gravity show a high spread, posing the model as a nonacceptable alternative
to dark matter.