English

The Method of Self-Consistent Field and Macroscopical Einstein Equations for the Early Universe

General Relativity and Quantum Cosmology 2020-07-09 v1

Abstract

The complete theory of cosmological evolution's macroscopic description is constructed with a help of self-consistent field. The theory includes a subsystem of linear equations of perturbations' evolution and nonlinear macroscopic Einstein equations and equations of a scalar field. We provide examples of system's solution which show the principal difference of the cosmological models of the early Universe built on homogenous and locally fluctuating scalar fields. {\bf Keywords}: macroscopic gravitation, self-consistent field, cosmological model, scalar fields, averaging of local fluctuations, asymptotical behavior, cosmological singularity.

Keywords

Cite

@article{arxiv.2004.14865,
  title  = {The Method of Self-Consistent Field and Macroscopical Einstein Equations for the Early Universe},
  author = {Yu. G. Ignat'ev},
  journal= {arXiv preprint arXiv:2004.14865},
  year   = {2020}
}

Comments

19 page, 39 references. arXiv admin note: text overlap with arXiv:1908.03488

R2 v1 2026-06-23T15:12:58.752Z