零齐性Petrov空间中具有不可解运动群的Maxwell真空方程的精确解
Exact solutions of Maxwell vacuum equations in null homogeneous Petrov spaces with non-solvable motions groups
浏览论文内容
中文总结 AI 辅助
本文对零齐性Petrov空间中具有不可解运动群的不变电磁场Maxwell真空方程精确解进行了完整分类，利用规范标架向量场表示度量张量和电磁场分量，结果便于应用。
中文摘要 AI 辅助
对零齐性Petrov空间中具有不可解运动群$G_3$的不变电磁场的Maxwell真空方程精确解进行了完整分类，其中$G_3$简单传递地作用于零齐性Petrov空间的零超曲面上。该分类基于利用规范标架的向量场来表示逆变度量张量的分量和不变电磁场的分量。分类结果以便于进一步使用的形式呈现。
英文摘要
A complete classification of exact solutions of Maxwell vacuum equations for invariant electromagnetic fields in null homogeneous Petrov spaces with unsolvable groups of motions $G_3$, acting simply transitively on null hypersurfaces of null homogeneous Petrov spaces, is conducted. The classification of exact solutions of Maxwell vacuum equations is based on using the representation of components of the contravariant metric tensor and components of the invariant electromagnetic field in terms of vector fields of a canonical frame. The classification results are presented in a form convenient for further use.
发表机构
- Tomsk State Pedagogical University（托木斯克国立师范学院）
- International Center of Gravity and Cosmos, Tomsk State University of Control Systems and Radio Electronics (TUSUR)（国际引力与宇宙学中心，托木斯克州立控制系统和无线电电子大学）
机构由 AI 辅助整理，请以论文原文为准。
