Galaxy rotation curves from external influence on Schwarzschild geometry

Abstract

We introduce the postulate that the observed galaxy rotation curves indicate there exists no Minkowski limit at the scales of galaxies and beyond. It is shown here that a wide range of galaxy rotation curves can be obtained as a perturbation of the weak field limit of the Schwarzschild geometry. The theory explains why galaxy rotation curves are non Keplerian where the planetary motions are Keplerian. If the radius of a spiral galaxy is r and its Schwarzschild radius based on luminous mass is λ, the present theory predicts that r √ λr0 where r0 is the radius of the universe. The theory also derives that the ordinary matter of the universe has a mass c 2 r0/2G, where G is the gravitational constant and c is velocity of light in vacuum.