Modified non-local-F(R) gravity as the key for the inflation and dark energy

Abstract

We consider FRW cosmology in non-local modified gravity. Its local scalar-tensor formulation is developed. It is explicitly demonstrated that such theory may lead to the unification of early-time inflation with late-time cosmic acceleration. The quintessence or phantom era may emerge for specific form of the action. The coupled non-local-F(R) gravity is also investigated. It is shown that such theory being consistent with Solar System tests may lead to the known universe history sequence: inflation, radiation/matter dominance and dark epoch.

LaTeX file, 9 pages, version to appear in PLB

References in corpus (7)

• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Matter instability in modified gravity
• Curvature scalar instability in f(R) gravity
• Early and Late Transient Cosmic Acceleration due to Curvature Inspired Dark Energy

Cited by in corpus (102)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Beyond the Cosmological Standard Model
• f(R,L_m) gravity
• Wormhole geometries in f(R) modified theories of gravity
• Teleparallel Gravity: From Theory to Cosmology
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Modified gravity with arbitrary coupling between matter and geometry
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Dark matter as a geometric effect in f(R) gravity
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Junction Conditions in f(R) Theories of Gravity
• Dynamics of Nonlocal Cosmology
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Accelerating cosmologies from non-local higher-derivative gravity
• Thin accretion disks in f(R) modified gravity models
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Newtonian limit of nonlocal cosmology
• Inflation from N-Forms and its stability
• Non-local quantum effects in cosmology 1: Quantum memory, non-local FLRW equations and singularity avoidance
• Inflation in (Super-)renormalizable Gravity
• Unifying Einstein and Palatini gravities
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Nonlocal quantum gravity and M-theory
• Nonlocal gravity and the diffusion equation
• Screening of cosmological constant in non-local gravity
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity
• Nonlinear structure formation in Nonlocal Gravity
• Non-Local Gravity Cosmology: an Overview
• Gödel-type universes in f(R) gravity
• Constraining Generalized Non-local Cosmology from Noether Symmetries
• One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
• FRW Cosmology in $f(Q,T)$ Gravity
• Non-Local Gravity Wormholes
• Newton's constant in f(R,R_{μν}R^{μν},\Box R) theories of gravity and constraints from BBN
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Field equations and cosmology for a class of nonlocal metric models of MOND
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Reconstruction Procedure in Nonlocal Cosmological Models
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Nonlocal Teleparallel Cosmology
• Considerations on gravitational waves in higher-order local and non-local gravity
• Gauss-Bonnet Chameleon Mechanism of Dark Energy
• Gravitational waves in non-local gravity
• Ricci Inverse Anisotropic Stellar Structures
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Reconstruction of GR cosmological solutions in modified gravity theories
• Nonlocal Metric Realizations of MOND
• Stability analysis and future singularity of the $m^{2}R{\square }^{-2}R$ model of non-local gravity
• Determining Cosmology for a Nonlocal Realization of MOND
• A Caveat on Building Nonlocal Models of Cosmology
• Non-Local Curvature and Gauss-Bonnet Cosmologies by Noether Symmetries
• Extending Friedmann equations using fractional derivatives using a Last Step Modification technique: the case of a matter dominated accelerated expanding Universe
• Modified GBIG Scenario as an Alternative for Dark Energy
• Cosmological Consequences of New Dark Energy Models in Einstein-Aether Gravity
• A constrained cosmological model in $f(R,L_m)$ gravity
• Bouncing Universe and phantom crossing in Modified Gravity and its reconstruction
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• The phase-space view of non-local gravity cosmology
• Primordial bouncing cosmology in the Deser-Woodard nonlocal gravity
• Non-Local Curvature Gravity Cosmology via Noether Symmetries
• Phantom energy supported wormhole model in $f(R,T)$ gravity assuming conformal motion
• Addressing Cosmological Tensions by Non-Local Gravity
• On Nonlocal Modified Gravity and its Cosmological Solutions
• What is needed of a scalar field if it is to unify inflation and late time acceleration ?
• Testing non-local gravity by clusters of galaxies
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
• Gravitational radiation in higher order non-local gravity
• Black hole quasinormal modes and isospectrality in Deser-Woodard nonlocal gravity
• Classification of Cosmic Scale Factor via Noether Gauge Symmetries
• Noncommutative Double Scalar Fields in FRW Cosmology as Cosmical Oscillators
• Ghosts in classes of non-local gravity
• Stability analysis in Modified Non-Local Gravity
• The CMB, preferred reference system and dragging of light in the earth frame
• Structure Formation in Non-local Bouncing Models
• Non-local scalar fields inflationary mechanism in light of Planck $2013$
• De Sitter and power-law solutions in some models of modified gravity
• An Improved Cosmological Model
• Possible Enhancement of High Frequency Gravitational Waves
• Investigation of Bouncing Universe and Phantom Crossing in Modified Gravity Coupled with Weyl Tensor and its Reconstruction
• Nonlocal effective actions in semiclassical gravity: thermal effects in stationary geometries
• The coincidence problem in $f(R)$ gravity models
• On the stability of electrovacuum space-times in scalar-tensor gravity
• The Weinberg no-go theorem for cosmological constant and nonlocal gravity
• Testing non-local gravity through Ultra-Diffuse Galaxies kinematics
• On the impact of non-local gravity on compact stars
• Is scalar-tensor gravity consistent with polytropic stellar models?
• On the stability of spherically symmetric space-times in scalar-tensor gravity
• Black holes and wormholes in Deser-Woodard gravity
• Black Holes and Non-perturbative Gravitational Waves in $f(R)$ Gravity
• Cosmic inflation in non-perturbative quantum gravity
• RG studies of scalar-field models of long-range interactions
• Stability of the de-Sitter universe: One-loop nonlocal $f(R)$ gravity
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left
• The stability of the de-Sitter universe in nonlocal gravity
• A Covariant Curvature-History Field Formulation for State-Dependent Infinite-Derivative Gravity
• Self-interaction in a cosmic dark fluid: The four-kernel rheological extension of the equations of state
• Diffusion method in field theories with fakeons