Non-local curvature gravity cosmology via Noether symmetries

Abstract

We consider extensions of General Relativity based on the non-local function f (R, rectangle(-1) R), where R is the Ricci curvature scalar and the non-locality is due to the term rectangle(-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.