This article is cited in 8 papers

The self-consistent field method and macroscopic Einstein equations for the early universe

Yu. G. Ignat'ev<sup>ab

a</sup> Institute of Physics, Kazan (Volga region) Federal University, Kazan, Russia
^b Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: Using a self-consistent field, we construct a complete theory of the macroscopic description of cosmological evolution, including a subsystem of linear equations for the evolution of perturbations and nonlinear macroscopic Einstein equations and a scalar field. We present example solutions of this system showing the principal difference between cosmological models of the early universe constructed on homogenous and locally fluctuating scalar fields.

Keywords: macroscopic gravitation, self-consistent field, cosmological model, scalar field, averaging local fluctuations, asymptotic behavior, cosmological singularity.

Received: 08.08.2019
Revised: 19.01.2020

DOI: 10.4213/tmf9799

 English version: Theoretical and Mathematical Physics, 2020, 204:1, 927–946

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