A Panorama of Viable $F(R)$ Gravity Dark Energy Models

Abstract

In this work we shall study the late-time dynamics of several $F(R)$ gravity models. By appropriately expressing the field equations in terms of the redshift and of a statefinder function, we shall solve numerically the field equations using appropriate physical motivated initial conditions. We consider models which, by construction, are described by a nearly $R^2$-model at early epochs and we fine tune the parameters to achieve viability and compatibility with the latest Planck constraints at late times. Such models provide a unified description of inflation and dark energy era and notably a common feature of all the models is the presence of dark energy oscillations. Furthermore, we show that, in contrast to general relativistic fluids and scalar field descriptions, a large spectrum of different dark energy physics is generated by simple $F(R)$ gravity models, varying from phantom, to nearly de Sitter and to quintessential dark energy eras.

IJMPD Accepted

References in corpus (25)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Standard Model Higgs boson as the inflaton
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The Large Scale Structure of f(R) Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Limit to General Relativity in f(R) theories of gravity
• The Newtonian Limit of F(R) gravity
• Cosmography of f(R) gravity
• Searching for modified growth patterns with tomographic surveys
• Stability of Cosmological Solution in f(R) Models of Gravity
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• The evolution of density perturbations in f(R) gravity
• Junction Conditions in f(R) Theories of Gravity
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• Aspects of cosmological expansion in F(R) gravity models
• Unification of Inflation with Dark Energy in $f(R)$ Gravity and Axion Dark Matter
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• One-loop Modified Gravity in de Sitter Universe, Quantum Corrected Inflation, and its Confrontation with the Planck Result
• Non-linear density-velocity dynamics in $f(R)$ gravity from spherical collapse

Cited by in corpus (14)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Robust Preference for Dynamical Dark Energy in DESI BAO and SN Measurements
• Dark energy in light of the early JWST observations: case for a negative cosmological constant?
• The state of the dark energy equation of state circa 2023
• Negative cosmological constant in the dark energy sector: tests from JWST photometric and spectroscopic observations of high-redshift galaxies
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology
• Imprints of screened dark energy on nonlocal quantum correlations
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• New one-parametric extension of the Starobinsky inflationary model
• Linearized Gravity in the Starobinsky Model: Perturbative Deviations from General Relativity
• Spherically Symmetric Potentials in Quadratic $f(R)$ Gravity
• Extended datasamples under the lens of Brane World Theory