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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 9 scientific papers (total in 9 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 (9)
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}
\crossref{https://doi.org/10.31857/S0044466922060163}
\mathscinet{http://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 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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