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

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Abstract

In classical works, field equations are given without deriving right-hand sides. In this paper, the right-hand sides of the Maxwell and Einstein equations are derived within the framework of Vlasov–Maxwell–Einstein equations from a classical, but more general least action principle.

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Authors and Affiliations

  1. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    V. V. Vedenyapin & S. R. Svirshchevskii

  2. Moscow Region State University, 141014, Mytishchi, Moscow oblast, Russia

    V. I. Parenkina

Authors
  1. V. V. Vedenyapin
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  2. V. I. Parenkina
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  3. S. R. Svirshchevskii
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Correspondence to V. V. Vedenyapin, V. I. Parenkina or S. R. Svirshchevskii.

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Translated by I. Ruzanova

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Vedenyapin, V.V., Parenkina, V.I. & Svirshchevskii, S.R. Derivation of the Equations of Electrodynamics and Gravity from the Principle of Least Action. Comput. Math. and Math. Phys. 62, 983–995 (2022). https://doi.org/10.1134/S096554252206015X

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  • DOI: https://doi.org/10.1134/S096554252206015X

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