The Thick Brane Solutions And Localizations Of Matter Fields In F(T) Gravity

In this paper, our purpose is mainly to discuss the domain wall solution in the teleparalell gravity. First, we introduce the fundamentals on the new general relativity. The new gravity allows us to study gravity in a gauge perspective. Difference from general relativity is that, in teleparalell gravity, gravity is not due to geometric effect any more, but as a force. Namely, those spinless particles will not travel along the geodesic. As a equivalent gravity theory, gravity is not described by the curvature, but torsion. In new general relativity the curvature of connection vanishes, and only torsion is non-vanished, that is contrast to general relativity. In recent works on modified teleparallel gravity, theorists found that the equations are much simpler than the modified general relativity, f(R) gravity. So, follow the steps, we try to apply the modified teleparallel gravity to five-dimensional brane scenario to investigate the impact of torsion on thick-brane solutons and the localization of various matters. In our work, we obtain some RS thick-brane solutions in the modified teleparallel gravity, and find that thick brane will split into two sub-brane with an internal structure. We also find that the localization of scalar or vector fields is only dependent on the whole structure of the thick brane which described by the warped factor, while the localization of fermions alao depends on the internal structure, that is model-dependent.