  We consider a toy model for the supermassive compact object at the galactic
center that does not require the presence of a black hole. We assume a matter
distribution of weakly interacting particles with a density profile inferred
from dark matter profiles in the outer regions. We show that rotation curves
close to the center of the Milky Way galaxy can be explained within this model.
We also show that the motion of test particles (stars) at distances of the
order of 100 astronomical units can not be distinguished from the motion of
corresponding particles in the Schwarzschild geometry. However, differences
arise at shorter distances, suggesting that it could be possible to
observationally test the validity of the model in the near future.
