Non-Local Curvature Gravity Cosmology via Noether Symmetries

TL;DR

This paper explores non-local modifications of gravity involving inverse d'Alembertian operators, using Noether symmetries to identify viable cosmological models and exact solutions, highlighting non-locality's impact on cosmology.

Contribution

It introduces a method to select viable non-local gravity models via Noether symmetries and derives exact cosmological solutions demonstrating non-local effects.

Findings

Identification of viable non-local gravity models

Derivation of exact cosmological solutions

Demonstration of non-locality's role in cosmology

Abstract

We consider extensions of General Relativity based on the non-local function $f(R, \Box^{-1} R)$, where $R$ is the Ricci curvature scalar and the non-locality is due to the term $\Box^{-1} R$. We focus on cosmological minisuperspaces and select viable models by the Noether Symmetry Approach. Then we find viable exact solutions pointing out the role of non-locality in cosmology.