标题： 引力的teleparallel理论中的圆柱对称解 显示英文标题

标题： Cylindrically Symmetric Solution in Teleparallel Theory of Gravitation

摘要： 该特殊类别的引力和电磁场的平行场理论的场方程已被应用于具有柱对称性的四维空间，其中包含径向坐标$r$和方位角$\theta$的四个未知函数。 真空应力-能量动量张量在关于其特定形式的一个假设下生成了一个非平凡的精确解析解。 该解由一个常数磁场参数$B_0$特征。 如果$B_0=0$，则该解将简化为平直时空。 能量含量是使用平行场几何框架中给出的超势能计算的。 在一个球体中包含的能量被发现与之前的结果不同。 显示英文摘要

摘要： The field equations of a special class of teleparallel theory of gravitation and electromagnetic fields have been applied to tetrad space having cylindrical symmetry with four unknown functions of radial coordinate $r$ and azimuth angle $\theta$. The vacuum stress-energy momentum tensor with one assumption concerning its specific form generates one non-trivial exact analytic solution. This solution is characterized by a constant magnetic field parameter $B_0$. If $B_0=0$ then, the solution will reduces to the flat spacetime. The energy content is calculated using the superpotential given in the framework of teleparallel geometry. The energy contained in a sphere is found to be different from the pervious results.