Noether symmetries and boundary terms in extended Teleparallel gravity cosmology

Understand

We discuss an extended Teleparallel gravity models comprising functions of scalar invariants constructed by torsion, torsion Gauss-Bonnet and boundary terms.

• We adopt the Noether Symmetry Approach to select the functional forms, the first integrals and, eventually, the exact solutions of the dynamics in the context of flat Friedman-Robertson-Walker cosmology.
• Standard perfect fluid matter, minimally coupled to geometry, is considered.
• Several physically consistent models are derived with related exact solutions.