Noether symmetry approach in Gauss–Bonnet cosmology

Abstract

We discuss the Noether Symmetry Approach in the framework of Gauss-Bonnet cosmology showing that the functional form of the F (R, G) function, where R is the Ricci scalar and G is the Gauss-Bonnet topological invariant, can be determined by the presence of symmetries. Besides, the method allows to find out exact solutions due to the reduction of cosmological dynamical system and the presence of conserved quantities. Some specific cosmological models are worked out.PACS numbers: 98.80.-k, 95.35.+d, 95.36.+x

Noether symmetry analysis of anisotropic universe in modified gravity

“…(37) agrees with [27] for special cases when m = 1. The corresponding Lagrangian for the particular functional form f (R,…”

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Noether symmetries of a modified model in teleparallel gravity and a new approach for exact solutions

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Energy bounds in f(R,G) gravity with anisotropic background

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