Noether Symmetries in Gauss-Bonnet-teleparallel cosmology

Abstract

A generalized teleparallel cosmological model, $f(T_{\mathcal{G}},T)$, 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, $f(T_{\mathcal{G}},T)$ contains all the possible information directly related to the torsion tensor. In this paper, we discuss how the Noether Symmetry Approach allows to fix the form of the function $f(T_{\mathcal{G}},T)$ and to derive exact cosmological solutions.

6 pages

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Cited by in corpus (13)

• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Testing wormhole solutions in extended gravity through the Poynting-Robertson effect
• Non-Local Gravity Cosmology: an Overview
• Constraining Generalized Non-local Cosmology from Noether Symmetries
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• Dynamical complexity of the Teleparallel gravity cosmology
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Tracing the cosmic history by Gauss-Bonnet gravity
• Exact spherically symmetric solutions in modified Gauss-Bonnet gravity from Noether symmetry approach
• The Gauss-Bonnet topological scalar in the Geometric Trinity of Gravity
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Generalized Noether Theorem for Gauss-Bonnet Cosmology