f (G ) Noether cosmology
Abstract
We develop the ndimensional cosmology for f (G ) gravity, where G is the GaussBonnet topological invariant. Specifically, by the socalled Noether Symmetry Approach, we select f (G ) ≃G^{k} powerlaw models where k is a real number. In particular, the case k =1 /2 for n =4 results equivalent to General Relativity showing that we do not need to impose the action R +f (G ) to reproduce the Einstein theory. As a further result, de Sitter solutions are recovered in the case where f (G ) is nonminimally coupled to a scalar field. This means that issues like inflation and dark energy can be addressed in this framework. Finally, we develop the Hamiltonian formalism for the related minisuperspace and discuss the quantum cosmology for this model.
 Publication:

European Physical Journal C
 Pub Date:
 August 2020
 DOI:
 10.1140/epjc/s1005202082582
 arXiv:
 arXiv:2005.08313
 Bibcode:
 2020EPJC...80..704B
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 European Physic Journal C 80 (2020) no.8, 704