The motion of stars in galaxies and the gravitational time dilatation

TL;DR

This paper proposes a method to explain star motion in galaxies by combining Newtonian mechanics with gravitational time dilation, avoiding the need for dark matter.

Contribution

It introduces a novel approach that integrates gravitational time dilation into Newtonian dynamics to model galaxy star motions without dark matter.

Findings

Successfully models star velocities without dark matter

Demonstrates the impact of gravitational time dilation in galactic dynamics

Provides an alternative to dark matter hypotheses

Abstract

This article deals with the problem of the motion of stars in galaxies. By using the Newton's theory combined with a gravitational time dilatation for the weak gravitational field, it is possible to give a solution without using the dark matter.