Charged axially-symmetric solution in f(T) gravity theory

In present article, an axially symmetric tetrad field has been applied to the charged field equations of f(T) gravity theory. Some constraints have been imposed to solve the resulting non-linear partial differential equations. An exact non-vacuum charged solution with three constants of integration is derived. The solution does not have non-trivial scalar torsion, T=TijkSijk\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathcal {T}}={T^i}_{jk}{S_i}^{jk}$$\end{document}. Total conserved charges, using Poincaré gauge version, are calculated to understand the physical meaning of the three constants of integration. It has been shown that these constants are gravitational mass, angular momentum of the rotating source and charge parameter.