We consider the cosmology derived from $f(T,B)$ gravity where $T$ is the torsion scalar and $B=\frac{ 2}{ e}\partial_{ \mu}(e T^{ \mu})$ 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 out cosmological solutions.
Categories: gr-qc astro-ph.CO hep-th