f(T) cosmology via Noether symmetry

Abstract

We consider the Noether symmetry approach to find exact cosmological solutions in f(T)-gravity. Instead of taking into account phenomenological models, we apply the Noether symmetry to f(T) gravity. As a result, the presence of such symmetries selects viable models and allows one to solve the equations of motion. We show that the generated f(T) leads to a power law expansion for the cosmological scale factor. © 2012 Springer-Verlag / Società Italiana di Fisica.