相对论扩展圆柱电磁场
Relativistically expanding cylindrical electromagnetic fields
摘要：
我们研究相对论扩展的电磁场的圆柱几何形状。这些场从圆柱体的侧面产生，在平行于圆柱体轴线的平移下是不变的。膨胀速度在径向方向上，并且由$v=R/(ct)$参数化。我们认为无力的磁场通过设置总的力的电磁场施加在电荷和电流等于零。解析和半解析可分离的相对论性问题的解决方案。在非相对论极限下，方程的数学形式类似于已经在相同几何形状的静态系统中研究过的方程。
英文摘要：
We study relativistically expanding electromagnetic fields of cylindrical geometry. The fields emerge from the side surface of a cylinder and are invariant under translations parallel to the axis of the cylinder. The expansion velocity is in the radial direction and is parametrized by $v=R/(ct)$. We consider force-free magnetic fields by setting the total force the electromagnetic field exerts on the charges and the currents equal to zero. Analytical and semi-analytical separable solutions are found for the relativistic problem. In the non-relativistic limit the mathematical form of the equations is similar to equations that have already been studied in static systems of the same geometry.
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。
