Non-Local Curvature Gravity Cosmology via Noether Symmetries

preprint2021arXivOpen access

Abstract

We consider extensions of General Relativity based on the non-local function f(R,□−1R)f(R, \Box^{-1} R), where RR is the Ricci curvature scalar and the non-locality is due to the term □−1R\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.

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