$f(T)$ cosmology via Noether symmetry

Abstract

We consider Noether symmetry approach to find out exact cosmological solutions in $f(T)$-gravity. Instead of taking into account phenomenological models, we apply the Noether symmetry to the $f(T)$ gravity. As a result, the presence of such symmetries selects viable models and allow to solve the equations of motion. We show that the generated $f(T)$ leads to a power law expansion for the cosmological scale factor.

11 pages, 2 figures. Final version, accepted for publication in EPJC. arXiv admin note: substantial text overlap with arXiv:1109.1694, arXiv:0804.2163, arXiv:0804.3449, arXiv:0809.4591 by other authors