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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)

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, 2024