Testing two alternatives theories to dark matter with the Milky Way
  dynamics
  Two alternative theories to dark matter are investigated by testing their
ability to describe consistently the dynamics of the Milky Way. The first one
refers to a modified gravity theory having a running gravitational constant and
the second assumes that dark matter halos are constituted by a Bose-Einstein
condensation. The parameters of each model as well as those characterizing the
stellar subsystems of the Galaxy were estimated by fitting the rotation curve
of the Milky Way. Then, using these parameters, the vertical acceleration
profile at the solar position was computed and compared with observations. The
modified gravity theory overestimates the vertical acceleration derived from
stellar kinematics while predictions of the Bose-Einstein condensation halo
model are barely consistent with observations. However, a dark matter halo
based on a collisionless fluid satisfies our consistency test, being the best
model able to describe equally well the rotation curve and the vertical
acceleration of the Galaxy.
