  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.
