Abstract

A new universal method is proposed for obtaining Vlasov–type equations for systems of interacting massive charged particles from the general-relativistic Einstein–Hilbert action. At the same time, a new effective approach to synchronizing the proper times of various particles of a many–particle system has been introduced. A new form of the energy–momentum tensor for matter (and the right-hand side of Einstein’s equations) is obtained.

中文翻译：

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Vlasov-Maxwell-Einstein方程的性质及其在广义相对论中的应用

摘要

提出了一种新的通用方法，用于从广义相对论爱因斯坦-希尔伯特作用中获得与大量带电粒子相互作用的系统的Vlasov型方程。同时，引入了一种新的有效方法来同步多粒子系统中各个粒子的正确时间。获得了一种新的物质能量动量张量（以及爱因斯坦方程的右侧）。