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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 514, Number 1, Pages 69–73
DOI: https://doi.org/10.31857/S2686954323600532 (Mi danma434) 		 
MATHEMATICS

On derivation of equations of gravitation from the principle of least action, relativistic Milne-Mccree solutions and Lagrange points

V. V. Vedenyapina, A. A. Baya, A. G. Petrovb

a Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russian Federation
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954323600532
Abstract: We suggest the derivation of gravitation equations in the framework of Vlasov–Poisson relativistic equations with Lambda-term from the classical least action and use Hamilton–Jacobi consequence for cosmological solutions and investigate Lagrange points.
Keywords: Vlasov equation, Miln-Mccree solutions, Vlasov–Poisson equation, Lagrange points.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 123021700055-6
Petrov’s research was performed in the framework of the state assignment, project no. 123021700055-6.
Presented: V. V. Kozlov
Received: 22.06.2023
Revised: 08.09.2023
Accepted: 01.11.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 3, Pages 481–485
DOI: https://doi.org/10.1134/S1064562423701417
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: 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. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 69–73; Dokl. Math., 108:3 (2023), 481–485
Citation in format AMSBIB
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\by V.~V.~Vedenyapin, A.~A.~Bay, A.~G.~Petrov
\paper On derivation of equations of gravitation from the principle of least action, relativistic Milne-Mccree solutions and Lagrange points
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 514
\issue 1
\pages 69--73
\mathnet{http://mi.mathnet.ru/danma434}
\crossref{https://doi.org/10.31857/S2686954323600532}
\elib{https://elibrary.ru/item.asp?id=56718068}
\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 3
\pages 481--485
\crossref{https://doi.org/10.1134/S1064562423701417}
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