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On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points
Doklady Mathematics ( IF 0.6 ) Pub Date : 2024-03-14 , DOI: 10.1134/s1064562423701417
V. V. Vedenyapin , A. A. Bay , A. G. Petrov

Abstract

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.



中文翻译:

关于从最小作用原理、相对论米尔恩-麦克雷解和拉格朗日点推导万有引力方程

摘要

带 Lambda 项的弗拉索夫-泊松相对论方程形式的引力方程源自经典的最小作用原理。汉密尔顿-雅可比后果用于获得宇宙学解决方案。研究了拉格朗日点的性质。

更新日期:2024-03-14
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