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Hamilton–Jacobi Equation for a Charged Test Particle in the Stäckel Space of Type (2.0)
Symmetry ( IF 2.940 ) Pub Date : 2020-08-03 , DOI: 10.3390/sym12081289
Valeriy Obukhov

All electromagnetic potentials and space–time metrics of Stackel spaces of type (2.0) in which the Hamilton–Jacobi equation for a charged test particle can be integrated by the method of complete separation of variables are found. Complete sets of motion integrals, as well as complete sets of killing vector and tensor fields, are constructed. The results can be used when studying solutions of field equations in the theory of gravity.

中文翻译:

类型 (2.0) 的 Stäckel 空间中带电测试粒子的 Hamilton-Jacobi 方程

找到了可以通过完全分离变量的方法对带电测试粒子的 Hamilton-Jacobi 方程进行积分的类型 (2.0) Stackel 空间的所有电磁势和时空度量。构造完整的运动积分集,以及完整的杀伤向量和张量场集。结果可用于研究引力理论中场方程的解。
更新日期:2020-08-03
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