Galaxy rotation curves from external influence on Schwarzschild geometry

Abstract: 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.