arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2303.01976gr-qcmath-phmath.MP
收藏

具有运动群$G_3(VIII)$的齐次空间中麦克斯韦方程组的精确解

Exact solutions of Maxwell equations in homogeneous spaces with the group of motions $G_3(VIII)$

V. V. Obukhov

摘要:

本文考虑了具有运动群$G_3(VIII)$的可容许电磁场和均匀时空的麦克斯韦真空方程组的精确解的Bianchi分类问题。其余运动组的分类问题$G_3(N)$已在其他文献中解决。这就是为什么现在已知所有具有容许电磁场的齐次空间的空麦克斯韦方程组的所有非等价解。

英文摘要:

The problem of classification of exact solutions of Maxwell's vacuum equations for admissible electromagnetic fields and homogeneous space-time with the group of motions $G_3(VIII)$ according to the Bianchi classification is considered. All non-equivalent solutions are found. The classification problem for remaining groups of motions $G_3(N)$ has already been solved in the other papers. That is why all non-equivalent solutions of empty Maxwell equations for all homogeneous spaces with admissible electromagnetic fields are known now.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑