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Non-Local Curvature Gravity Cosmology via Noether Symmetries

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arxiv 2111.07285 v1 pith:GIW3PZ36 submitted 2021-11-14 gr-qc astro-ph.COhep-th

Non-Local Curvature Gravity Cosmology via Noether Symmetries

classification gr-qc astro-ph.COhep-th
keywords cosmologycurvaturenoethernon-localnon-localityviableapproachconsider
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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.

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