Cylindrically Symmetric Solution in Teleparallel Theory

The field equations of a special class of teleparallel theory of gravitation and electromagnetic fields are applied to tetrad space having cylindrical symmetry with four unknown functions of radial coordinate.. 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 reduce to the flat spacetime. The energy content is calculated using the superpotential given by Moller in the framework of teleparallel geometry. The energy contained in a sphere is found to be different from the pervious results.