论从最小作用原理、相对论米尔恩-麦克雷亚解法和拉格朗日点推导引力方程

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-03-14 DOI:10.1134/S1064562423701417

V. V. Vedenyapin, A. A. Bay, A. G. Petrov

引用次数: 0

摘要

摘要从经典的最小作用原理推导出带有 Lambda 项的 Vlasov-Poisson 相对方程形式的引力方程。利用汉密尔顿-雅可比后果得到宇宙学解。研究了拉格朗日点的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points

Equations of gravitation in the form of Vlasov–Poisson relativistic equations with Lambda term are derived from the classical principle of least action. Hamilton–Jacobi consequences are used to obtain cosmological solutions. The properties of Lagrange points are investigated.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.