Non-Local Curvature Gravity Cosmology via Noether Symmetries

Abstract

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

13 pages

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Cited by in corpus (13)

• Late-time constraints on modified Gauss-Bonnet cosmology
• The phase-space view of non-local gravity cosmology
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• Testing non-local gravity by clusters of galaxies
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
• Lagrangian reconstruction of Barrow holographic dark energy in interacting tachyon model
• Exploring departures from Schwarzschild black hole in $f(R)$ gravity
• The energy-momentum complex in non-local gravity
• Velocity distribution of elliptical galaxies in the framework of Non-local Gravity model
• Testing non-local gravity through Ultra-Diffuse Galaxies kinematics
• Analytical $poly\Lambda$CDM dynamics
• Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative $U(1)$ gauge theory
• Generic autonomous system approach to interacting dark energy models