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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2023 Volume 514, Number 1, Pages 69–73 (Mi danma434)

This article is cited in 1 paper

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

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.

UDC: 517.958

Presented: V. V. Kozlov
Received: 22.06.2023
Revised: 08.09.2023
Accepted: 01.11.2023

DOI: 10.31857/S2686954323600532


 English version:
Doklady Mathematics, 2023, 108:3, 481–485

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© Steklov Math. Inst. of RAS, 2025