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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 1, Pages 106–129
DOI: https://doi.org/10.4213/tmf9799 (Mi tmf9799) 		 
This article is cited in 5 scientific papers (total in 5 papers)

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

Yu. G. Ignat'evab

a Institute of Physics, Kazan (Volga region) Federal University, Kazan, Russia
b Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (590 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9799
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This research was supported by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities.
Received: 08.08.2019
Revised: 19.01.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 1, Pages 927–946
DOI: https://doi.org/10.1134/S0040577920070077
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. G. Ignat'ev, “The self-consistent field method and macroscopic Einstein equations for the early universe”, TMF, 204:1 (2020), 106–129; Theoret. and Math. Phys., 204:1 (2020), 927–946
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9799
  • https://www.mathnet.ru/eng/tmf/v204/i1/p106
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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