Flat rotation curve without dark matter: the generalized Newton’s law of gravitation

Abstract

We have shown that flat rotation curve in the framework of the generalized Newton’s law of gravitation need not require dark matter. The generalized Newton’s force gives rise to logarithmic potential energy at large distances from the center of the galaxy. The effect of the gravitomagnetic force is to induce the constant velocity pattern observed in flat rotation curve at very large distances from the center of the galaxy. Dynamical matter arising from moving stars far away from the center of the galaxy is shown to provide a great part to the total mass of the galaxy.