Noether symmetry approach in f(T, B) teleparallel cosmology

Abstract

We consider the cosmology derived from f(T, B) gravity where T is the torsion scalar and B=2e∂μ(eTμ) a boundary term. In particular we discuss how it is possible to recover, under the same standard, the teleparallel f(T) gravity, the curvature f(R) gravity, and the teleparallel–curvature f(R, T) gravity, which are particular cases of f(T, B). We adopt the Noether Symmetry Approach to study the related dynamical systems and to find cosmological solutions.