The phenomenon of dark matter caused by relativistic effect

• 1、Independent Researcher
• 2、Faculty of Arts and Science, University of Toronto, Ontario, Canada M5S 1A1

Abstract：In this paper, a modified Newtonian theory of gravity of non-Riemannian geometric relativity is made for solving the trajectories of objects around the galactic center and the dark matter problem in universe. The result shows that the objects in outer region areas of galaxies run on the global logarithmic spiral orbit, rather than local elliptical orbit, which results in the flatness of the rotation curves of galaxies. This discovery of relativistic astrodynamics reveals why there is an extra gravity pulled galaxies spin faster than Newton's gravity. In fact, this extra gravity is neither from the hypothesis of dark matter nor as Modified Newtonian Dynamics (MOND) in which the gravity will be against Newton's theory in the regions where the acceleration is extremely weak.It is just due to the fact of relativistic effects that adjusts Newton's laws to create a stronger gravitational field caused by limitation of the speed of light in universe.

Keywords： Dark matter, Equivalence principle, Rotation curves, logarithmic spiral track, MOND