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Republication of: Existence theorem for the Einsteinian gravitational field equations in the non-analytic case
General Relativity and Gravitation ( IF 2.8 ) Pub Date : 2022-04-12 , DOI: 10.1007/s10714-022-02917-4
Yvonne Fourès-Bruhat

This paper was the first announcement of results later elaborated in detail in the more extensive 1952 paper by the same author (now Prof. Yvonne Choquet-Bruhat). They provide a very important theorem on the uniqueness of solutions of the initial value problem for the Einstein equations. This showed that Einstein’s theory shared the property of other physical theories that the evolution of the system is unique given the initial “position” and “velocity”, which here are the Cauchy data for the metric and its derivative.



中文翻译:

再版:非解析情况下爱因斯坦引力场方程的存在定理

这篇论文是后来在同一作者(现为 Yvonne Choquet-Bruhat 教授)更广泛的 1952 年论文中详细阐述的结果的第一次公布。它们为爱因斯坦方程的初值问题的解的唯一性提供了一个非常重要的定理。这表明爱因斯坦的理论与其他物理理论具有相同的性质,即在给定初始“位置”和“速度”的情况下,系统的演化是唯一的,这里是度量及其导数的柯西数据。

更新日期:2022-04-12
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