标题： 柱对称解在修改的f(T)引力中 显示英文标题

标题： Cylindrical Solutions in Modified f(T) Gravity

摘要： 我们研究在Weyl坐标框架下的静态柱对称真空解，在f(T)引力理论中，其中T是挠率标量。 修改的爱因斯坦方程组被提出，第四条方程被建立。 对于代数函数f(T)假设了具体的物理表达式，并得到了解。 此外，获得了在轴r = 0处u(r)具有有限值的一般解，这导致了一个常数挠率标量。 同时引入了宇宙学常数，并对其与GR中的Linet-Tian解的关系进行了评论。 显示英文摘要

摘要： We investigate static cylindrically symmetric vacuum solutions in Weyl coordinates in the framework of f(T) theories of gravity, where T is the torsion scalar. The set of modified Einstein equations is presented and the fourth coming equations are established. Specific physical expressions are assumed for the algebraic function f(T) and solutions are obtained. Moreover, general solution is obtained with finite values of u(r) on the axis r = 0, and this leads to a constant torsion scalar. Also, cosmological constant is introduced and its relation to Linet-Tian solution in GR is commented.