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

Pub Date : 2024-03-14 DOI:10.1134/S1064562423701417
V. V. Vedenyapin, A. A. Bay, A. G. Petrov
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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.

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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
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。
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