Authors: Alexander P. Sobolev
The gravitational equations were derived in general relativity (GR) using the assumption of their covariance relative to arbitrary transformations of coordinates. It has been repeatedly expressed an opinion over the past century that such equality of all coordinate systems may not correspond to reality. The internal problems inherent in GR are indirectly confirming it. Nevertheless, no actual verification of the necessity of this assumption has been made to date. There must undoubtedly be weighty physical reasons for the introduction of the constraints on the group of coordinate transformations. The initial equations of a theory of gravity with general covariance restricted due to introduction of the constraints are formulated in the paper. The constraint can be interpreted from a physical point of view as a sufficient condition for adiabaticity of the process of evolution of the metric of space-time manifold. A basic model of evolution of the Universe is constructed on this basis which consistent with the observational astronomical data but without using of the hypotheses of the existence of a dark energy, dark matter and inflatons. Keywords: Gravitation, restricted covariance, nonsingular theory, exact solutions, evolution of the Universe.
Comments: 27 Pages. 1-27 in english, 28-53 in russian
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