Noether symmetries in Gauss–Bonnet-teleparallel cosmologyReport as inadecuate

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The European Physical Journal C

, 76:629

First Online: 18 November 2016Received: 30 September 2016Accepted: 07 November 2016


A generalized teleparallel cosmological model, \fT \mathcal {G},T\, containing the torsion scalar T and the teleparallel counterpart of the Gauss–Bonnet topological invariant \T {\mathcal {G}}\, is studied in the framework of the Noether symmetry approach. As \f\mathcal {G}, R\ gravity, where \\mathcal {G}\ is the Gauss–Bonnet topological invariant and R is the Ricci curvature scalar, exhausts all the curvature information that one can construct from the Riemann tensor, in the same way, \fT \mathcal {G},T\ 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 \fT \mathcal {G},T\ and to derive exact cosmological solutions.

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Author: Salvatore Capozziello - Mariafelicia De Laurentis - Konstantinos F. Dialektopoulos


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