A classification of metrics and electromagnetic potentials is carried out for the case when the Hamilton–Jacobi equation admits a complete separation of variables in a space with a complete set consisting of one vector and two tensor Killing fields. The classification is supplemented by solution of the vacuum Maxwell equations.

中文翻译：

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哈密​​顿-雅各比方程和麦克斯韦方程在 Stäckel 空间的对角度量中的积分

当 Hamilton-Jacobi 方程允许变量在空间中完全分离且具有由一个向量和两个张量 Killing 场组成的完整集时，对度量和电磁势进行分类。分类由真空麦克斯韦方程组的解来补充。