Non-local $F(R)$-mimetic gravity

Abstract

In this paper, we study non-local $F(R)$-mimetic gravity. We implement mimetic gravity in the framework of non-local $F(R)$-theories of gravity. Given some specific class of models and using a potential on the mimetic field, we investigate some scenarios related to the early-time universe, namely the inflation and the cosmological bounce, compatibly with Einstein's gravity with cold dark matter at the late-time.

11 pages, final version, accepted in Astrophysics and Space Science journal

References in corpus (22)

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• Cosmological perturbations in mimetic matter model
• A quantitative analysis of singular inflation with scalar-tensor and modified gravity
• New Modified Mimetic Gravity
• Hamiltonian Formulation of Mimetic Gravity
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Mimetic $F(R)$ inflation confronted with Planck and BICEP2/Keck Array data
• Bouncing Cosmologies

Cited by in corpus (19)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Cosmological dynamics of mimetic gravity
• Recovering a MOND-like acceleration law in mimetic gravity
• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• Cosmological Evolution and Exact Solutions in a Fourth-order Theory of Gravity
• Black hole solutions in mimetic Born-Infeld gravity
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Aspects of Late-time Evolution in Mimetic $F(R)$ Gravity
• The key role of Lagrangian multiplier in mimetic gravitational theory in the frame of isotropic compact star
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Topological black holes in mimetic gravity
• Structure formation in mimetic gravity
• Similarity solutions for the Wheeler-DeWitt equation in $f\left(R\right)$-cosmology
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
• Isotropic stellar model in mimetic theory