Abstract
We obtain the equations of motions of the f ( T ) theory considering the Lemaître-Tolman-Bondi’s metric for a set of diagonal and non-diagonal tetrads. In the case of diagonal tetrads, the equations of motion of the f ( T ) theory impose a constant torsion or the same equations as in general relativity (GR), while in the case of a non-diagonal set, the equations are quite different from that obtained in GR. We show a simple example of a universe dominated by matter for the two cases. The comparison of the masses in the non-diagonal case shows a sort of increase with respect to the diagonal case. We also find two examples for the non-diagonal case. The first one concerns a Schwarzschild-type black hole solution, which presents a temperature higher than that of Schwarzschild, and a black hole in a dust-dominated universe.