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

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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 10 scientific papers (total in 10 papers)

Mathematical physics

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

V. V. Vedenyapin^a, V. I. Parenkina^b, S. R. Svirshchevskii^a

^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 (10)

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

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\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

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\pages 983--995

\crossref{https://doi.org/10.1134/S096554252206015X}

Linking options:

https://www.mathnet.ru/eng/zvmmf11413

https://www.mathnet.ru/eng/zvmmf/v62/i6/p1016

This publication is cited in the following 10 articles:

V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “Vlasov–Maxwell–Einstein-type equations and their consequences. Applications to astrophysical problems”, Theoret. and Math. Phys., 218:2 (2024), 222–240
V. V. Vedenyapin, “On Derivation of Vlasov–Maxwell–Einstein Equations from the Principle of Least Action, the Hamilton–Jacobi Method, and the Milne–McCrea Model”, Dokl. Math., 2024
V. V. Vedenyapin, A. A. Bay, “Least action principle for gravity and electrodynamics, the Lambda-term and the analog of Milne–McCrea solution for Lorentzian metric”, Eur. Phys. J. Plus, 139:2 (2024)
Jiaping Sun, Chao Liang, Tiantang Yu, “Analytical assessment of dynamic stability in 2D unsaturated soil slopes reinforced with piles”, Arch. Civ. Mech. Eng., 25:1 (2024)
V. V. Vedenyapin, “Mathematical Theory of the Expanding Universe Based on the Principle of Least Action”, Comput. Math. and Math. Phys., 64:11 (2024), 2624
V. V. Vedenyapin, D. A. Kogtenev, “O vyvode i svoistvakh uravnenii tipa Vlasova”, Preprinty IPM im. M. V. Keldysha, 2023, 020, 18 pp.
V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “Hydrodynamic Consequences of Vlasov–Maxwell–Einstein Equations and Their Cosmological Applications”, Gravit. Cosmol., 29:1 (2023), 1
Victor V. Vedenyapin, Nikolay N. Fimin, “Cosmological Aspects of the Theory of Equations of the Vlasov–Einstein Type and Their Consequences”, EQUATIONS, 3 (2023), 145
V. V. Vedenyapin, A. A. Bay, A. G. Petrov, “On derivation of equations of gravitation from the principle of least action, relativistic Milne-Mccree solutions and Lagrange points”, Dokl. Math., 108:3 (2023), 481–485
Victor V. Vedenyapin, Nikolay N. Fimin, Valery M. Chechetkin, “Cosmological aspects of hydrodynamic treatment of the Einstein–Vlasov equations”, Eur. Phys. J. Plus, 137:9 (2022)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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