Metric Effects in Event Space and Einstein’s Gravitation Theory

Abstract

A variant of the mechanistic gravitation theory is considered as a 4D theory of elasticity of the event space. A 4D displacement vector is introduced, where the fourth component is the local uneven time of the physical process generating the gravitational field. An analysis of the kinematic model of the mechanistic theory of gravity is presented. It is shown that Einstein’s gravity is a particular theory of the 4D theory of elasticity of the event space with a field of defects. Kinematic models of 4D space-time continuum are proposed, allowing to formulate the variational mechanistic models of gravity. Lagrangian of gravitational field models are formulated for the kinematic variables of a defect-free space–time continuum, continuum with conserved dislocations and a 4D space-time continuum with generated dislocations and conserved disclinations.