Torsion has been proved to be crucial in gauging gravity, which
is in turn a necessary step towards its quantization. On the other hand,
almost all the efforts in modifying gravity has been performed in the
usual curvaturebased framework. We investigate the case where one
modifies gravity based on its torsionalteleparallel formulation, namely
the f(T) gravity paradigm, and its cosmological applications. Moreover, we
analyze the perturbations of the theory examining the growth history, we
construct a cosmological bounce, and we use solar system observations in
order to impose constraints on the f(T) forms. Additionally, we study the
case where T is nonminimally coupled to a scalar field, as well as other
extensions of the theory. Finally we analyze the charged black hole
solutions of the theory, performing a comparison between f(R) and f(T)
modifications.
