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Derivation of the Equations of Electrodynamics and Gravitation from the Principle of Least Action

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Abstract

The problem of justification of gravitation and electrodynamic equations with the help of the minimal action principle is a classical one. A derivation of the Vlasov–Maxwell–Einstein equation is proposed from the classical principle, but the little more general principle of minimal action. So we get new derivation of the right-hand side of the Maxwell and Einstein equations and we get a closed system of equations for gravitation and electrodynamics.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    V. V. Vedenyapin, M. Yu. Voronina & A. A. Russkov

Authors
  1. V. V. Vedenyapin
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  2. M. Yu. Voronina
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  3. A. A. Russkov
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Correspondence to V. V. Vedenyapin.

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Vedenyapin, V.V., Voronina, M.Y. & Russkov, A.A. Derivation of the Equations of Electrodynamics and Gravitation from the Principle of Least Action. Dokl. Phys. 65, 413–417 (2020). https://doi.org/10.1134/S1028335820120095

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  • DOI: https://doi.org/10.1134/S1028335820120095

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