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Properties of the Vlasov–Maxwell–Einstein Equations and Their Application to the Problems of General Relativity

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Abstract

A new universal method is proposed for obtaining Vlasov–type equations for systems of interacting massive charged particles from the general-relativistic Einstein–Hilbert action. At the same time, a new effective approach to synchronizing the proper times of various particles of a many–particle system has been introduced. A new form of the energy–momentum tensor for matter (and the right-hand side of Einstein’s equations) is obtained.

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Authors and Affiliations

  1. Federal Research Center ‘‘Keldysh Institute of Appled Mathematics,’’ Russian Academy of Sciences, Miusskaya pl. 4, 1250477, Moscow, Russia

    V. V. Vedenyapin, N. N. Fimin & V. M. Chechetkin

  2. Peoples’ Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, 117198, Moscow, Russia

    V. V. Vedenyapin

  3. National Research Center ‘‘Kurchatov Institute’’, pl. Akademika Kurchatova 1, 123182, Moscow, Russia

    V. M. Chechetkin

Authors
  1. V. V. Vedenyapin
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  2. N. N. Fimin
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  3. V. M. Chechetkin
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Correspondence to V. V. Vedenyapin.

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Vedenyapin, V.V., Fimin, N.N. & Chechetkin, V.M. Properties of the Vlasov–Maxwell–Einstein Equations and Their Application to the Problems of General Relativity. Gravit. Cosmol. 26, 173–183 (2020). https://doi.org/10.1134/S0202289320020115

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  • DOI: https://doi.org/10.1134/S0202289320020115

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