Galaxy rotation curves from external influence on Schwarzschild geometry
  We present a modified Schwarzschild metric to introduce a weak breakdown of
asymptotic flatness. The kinematics of the metric captures a wide range of
galaxy rotation curves. We show baryonic Tully-Fisher relation on the basis of
this modified Schwarzschild metric. On the basis of the kinematics of this
modified metric we also show some connections between the size and ordinary
matter content of the observable universe and the rotation curves of spiral
galaxies.
