Kinematics and Dynamics of a Particle in Gravitation Field

Abstract

It is accepted that three-dimensional physical space is a hypersurface with a Riemannian metric in four-dimensional space The metric tensor of this three-dimensional space is defined by Einstein s equations Another coordinate of fourdimensional space is time In this space the equations of the world line of a particle with a mass m are defined under certain initial conditions the starting point of the space and the vector of the particle s initial velocity This approach removes all the problems and contradictions noted in the monograph 1 and the resulting equations adequately describe for example the curvilinear motion of planets without energy change