title: Noether symmetries in Gauss-Bonnet-teleparallel cosmology.
abstract: A generalized teleparallel cosmological model, [Formula: see text], containing the torsion scalarTand the teleparallel counterpart of the Gauss-Bonnet topological invariant [Formula: see text], is studied in the framework of the Noether symmetry approach. As [Formula: see text] gravity, where [Formula: see text] is the Gauss-Bonnet topological invariant andRis the Ricci curvature scalar, exhausts all the curvature information that one can construct from the Riemann tensor, in the same way, [Formula: see text] contains all the possible information directly related to the torsion tensor. In this paper, we discuss how the Noether symmetry approach allows one to fix the form of the function [Formula: see text] and to derive exact cosmological solutions.
authors.affiliation: Dipartimento di Fisica "E. Pancini", Universita' di Napoli"Federico II", Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, 80126 Napoli, Italy ; INFN Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, 80126 Napoli, Italy ; Gran Sasso Science Institute (INFN), Via F. Crispi 7, 67100 L' Aquila, Italy ; Tomsk State Pedagogical University, 634061 Tomsk, Russia.
authors.forename: Salvatore
authors.initials: S
authors.lastname: Capozziello
authors.affiliation: INFN Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, 80126 Napoli, Italy ; Tomsk State Pedagogical University, 634061 Tomsk, Russia ; Institute for Theoretical Physics, Goethe University, Max-von-Laue-Str. 1, 60438 Frankfurt, Germany ; Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia.
authors.forename: Mariafelicia
authors.initials: M
authors.lastname: De Laurentis
authors.affiliation: Dipartimento di Fisica "E. Pancini", Universita' di Napoli"Federico II", Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, 80126 Napoli, Italy ; INFN Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, 80126 Napoli, Italy.
authors.forename: Konstantinos F
authors.initials: KF
authors.lastname: Dialektopoulos