LAUSR

In this paper, we obtain the field equations of Weyl static axially symmetric space-time in the framework of f(T) gravity, where T is torsion scalar. We will see that, for f(T) = T related to teleparallel equivalent general relativity, these equations reduce to Einstein field equations. We show that if the components of energy–momentum tensor are symmetric, the scalar torsion must be either constant or only a function of radial component ρ. The solutions of some functions f(T) in which T is a function of ρ are obtained.