## Quasi-Classical Theory of Gravity

**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. Nevertheless, no actual verification of the necessity of this assumption has been made to date. The initial equations of a theory of gravity with general covariance restricted due to introduction of the constraint are formulated in the paper. The concept of the entropy density of space-time is defined, the constraint is interpreted from a physical point of view as a sufficient condition for the adiabaticity of the process of evolution of its metric. 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". It is claimed that the maximum global energy density in the Universe was 64 orders of magnitude smaller the Planckian one, and the entropy density is 18 orders of magnitude higher the value predicted by GR.
Keywords: Gravitation, restricted covariance, nonsingular theory, entropy of space-time, evolution of the Universe.

**Comments:** 28 Pages. 1-28 english, 29-56 russian

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### Submission history

[v1] 2018-04-18 09:26:06

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