Analytic charged spherically symmetric solution in f(T) gravity
The framework of (T) gravity theory is analyzed to obtain a spherically symmetric non-vacuum solution that has two constants of integration. The constants of integration are analyzed and it is shown that one is related to the gravitational mass while the other is related to the electric charge. The scalar torsion of this solution depends on the electric charge. The energy-momentum tensor that gives the Reissner Nordström spacetime is derived for specific form of f(T).
Nashed, Gamal G.L., "Analytic charged spherically symmetric solution in f(T) gravity" (2013). Centre for Theoretical Physics. 115.