Eur. Phys. J. C (2017) 77: 107
https://doi.org/10.1140/epjc/s10052-017-4677-0

Regular Article - Theoretical Physics

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

¹ Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
² Dipartimento di Fisica, Universitá di Napoli “Federico II”, Naples, Italy
³ Gran Sasso Science Institute, Via F. Crispi 7, 67100, L’Aquila, Italy
⁴ INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, 80126, Naples, Italy

^* e-mail: capozziello@na.infn.it

Received: 6 December 2016
Accepted: 3 February 2017
Published online: 16 February 2017

Abstract

We consider the cosmology derived from f(T, B) gravity where T is the torsion scalar and 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.