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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 6, Pages 1016–1029
DOI: https://doi.org/10.31857/S0044466922060163 (Mi zvmmf11413) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Mathematical physics

Derivation of the equations of electrodynamics and gravity from the principle of least action

V. V. Vedenyapina, V. I. Parenkinab, S. R. Svirshchevskiia

a Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
b Moscow Region State University, 141014, Mytishchi, Moscow oblast, Russia
Citations (11)
DOI: https://doi.org/10.31857/S0044466922060163
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.
Key words: Vlasov equation, Vlasov–Einstein equation, Vlasov–Maxwell equation, Vlasov–Poisson equation.
Received: 17.11.2021
Revised: 17.11.2021
Accepted: 24.12.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 6, Pages 983–995
DOI: https://doi.org/10.1134/S096554252206015X
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: V. V. Vedenyapin, V. I. Parenkina, S. R. Svirshchevskii, “Derivation of the equations of electrodynamics and gravity from the principle of least action”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 1016–1029; Comput. Math. Math. Phys., 62:6 (2022), 983–995
Citation in format AMSBIB
\Bibitem{VedParSvi22}
\by V.~V.~Vedenyapin, V.~I.~Parenkina, S.~R.~Svirshchevskii
\paper Derivation of the equations of electrodynamics and gravity from the principle of least action
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 6
\pages 1016--1029
\mathnet{http://mi.mathnet.ru/zvmmf11413}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4452829}
\elib{https://elibrary.ru/item.asp?id=48506078}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 6
\pages 983--995
\crossref{https://doi.org/10.1134/S096554252206015X}
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  • https://www.mathnet.ru/eng/zvmmf/v62/i6/p1016
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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