Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries

TL;DR

This paper explores non-local gravity cosmologies involving curvature and Gauss-Bonnet invariants, using Noether symmetries to identify specific models and derive exact solutions for the universe's evolution.

Contribution

It introduces a method to select functional forms of non-local gravity actions based on Noether symmetries and provides exact cosmological solutions within this framework.

Findings

Identification of specific functional forms via Noether symmetries

Derivation of exact cosmological solutions

Enhanced understanding of non-local gravity models

Abstract

Non-local gravity cosmologies are considered under the standard of Noether Symmetry Approach. In particular, we focus on non-local theories whose gravitational actions depend on curvature and Gauss-Bonnet scalar invariants. Specific functional forms of the related point-like Lagrangians are selected by Noether symmetries and we solve the corresponding field equations finding out exact cosmological solutions.