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The properties of Vlasov–Maxwell–Einstein equations and its applications to cosmological models

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Abstract

The method of obtaining Vlasov-type equations for systems of interacting massive charged particles from the general relativistic Einstein–Hilbert action is considered. An effective approach to synchronize the proper times of various particles of a many-particle system is proposed. Based on the resulting expressions for the relativistic actions, an analysis of composite structure of cosmological term in Einstein’s equations is performed.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data and mathematical formalism used in this paper, are based on the materials of preprints [12] (https://doi.org/10.20948/prepr-2019-39-e) and [17] (https://doi.org/10.20948/prepr-2018-265)].

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Author information

Authors and Affiliations

  1. RUDN University, Mikluho-Maklaya St., 6, Moscow, Russia, 117198

    Victor Vedenyapin

  2. Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq., 4, Moscow, Russia, 125047

    Nikolay Fimin

  3. National Research Center Kurchatov Institute, Kurchatov Sq., 1, Moscow, Russia, 123182

    Valery Chechetkin

Authors
  1. Victor Vedenyapin
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  2. Nikolay Fimin
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  3. Valery Chechetkin
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Correspondence to Nikolay Fimin.

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Vedenyapin, V., Fimin, N. & Chechetkin, V. The properties of Vlasov–Maxwell–Einstein equations and its applications to cosmological models. Eur. Phys. J. Plus 135, 400 (2020). https://doi.org/10.1140/epjp/s13360-020-00412-w

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00412-w

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