The motion of a test particle in the Kaluza-Klein-type of gravitational theory with variable rest mass

Abstract

The geodesic equation in a viable 5D space-time-mass theory of gravity is calculated for the purpose of presenting quantities accessible to experiments and observations. Determining the values of the constants in the theory is left for future tests concerning the principle of equivalence. But qualitatively we can show that the five-velocity is a function of not only of time but also mass. And in general case a possible change of mass depends onm as well ast.