Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase

Abstract

We show that f(R)-gravity can, in general, give rise to cosmological viable models compatible with a matter-dominated epoch evolving into a late accelerated phase. We discuss the various representations of f(R)-gravity as an ideal fluid or a scalar-tensor gravity theory, taking into account conformal transformations. We point out that mathematical equivalence does not correspond, in several cases, to the physical equivalence of Jordan frame and Einstein frame. Finally, we show that wide classes of f(R)-gravity models, including matter and accelerated phases, can be phenomenologically reconstructed by means of observational data. In principle, any popular quintessence models could be "reframed" as an f(R)-gravity model.

arXiv comment11 pages, 1 figure

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• F(R) gravity in purely affine formulation
• Modified gravity in a viscous and non-isotropic background
• Gauge Issues in Extended Gravity and f(R) Cosmology
• Late time evolution of negatively curved FLRW models
• A Note on de Sitter Embedding of $f(R)$ Theories
• Type IV singular bouncing cosmology from $f(T)$ Gravity
• Investigation of Bouncing Universe and Phantom Crossing in Modified Gravity Coupled with Weyl Tensor and its Reconstruction
• Scalar-tensor extension of the $\Lambda$CDM model
• Non-linear logarithmic interactions and a varying polytropic gas
• Dynamical Analysis of an $n-H-T$ Cosmological Quintessence Real Gas Model with a General Equation of State
• Simple cosmological model with inflation and late times acceleration
• Exact inflationary solutions in exponential gravity
• A gracious exit from the matter-dominated phase in a quantum cosmic phantom model
• w=1/3 to w=-1 evolution in a Robertson-Walker space-time with constant scalar curvature
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• Einstein and Jordan frame correspondence in quantum cosmology: Expansion-collapse duality
• Mass decomposition of SLACS lens galaxies in Weyl conformal gravity
• Signatures of regular black holes from the quasar continuum spectrum
• Sample variance in N--body simulations and impact on tomographic shear predictions
• Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology
• Superconducting Cosmic Strings and One Dimensional Extended Supersymmetric Algebras
• Vacuum $f(R)$ thick brane solution with a Gaussian warp function
• $f(R)$ Gravity and Crossing the Phantom Divide Barrier
• Einstein and Jordan-Frame Covariant Hamiltonians for F(R) Gravity and Their Canonical Relationships
• Modified gravity with disappearing cosmological constant
• Tracking $f(R)$ cosmology
• Lensing convergence and anisotropic dark energy in galaxy redshift surveys
• Inflation constraints for classes of f(R) models
• Impact of projective curvature tensor in $f\left(R,G\right)$, $f\left(R,T\right)$ and $f\left(R,L_m\right)$-gravity
• (Non-) geodesic motion in chameleon Brans Dicke model
• f(R) in Holographic and Agegraphic Dark Energy Models and the Generalized Uncertainty Principle
• Quasi-Topological Magnetic Brane coupled to Nonlinear Electrodynamics
• On the cosmological viability of the Hu-Sawicki type modified induced gravity
• Inflationary Cosmology Leading to a Soft Type Singularity
• Scalar-tensor theories of gravity from a thermodynamic viewpoint
• Statefinder diagnosis of nearly flat and thawing non-minimal quintessence
• Dynamical Systems Analysis of $f(R,L_m)$ Gravity Model
• Growth of matter perturbations for realistic $F(R)$ models
• Fifth forces and frame invariance
• Cosmological dynamics with modified induced gravity on the normal DGP branch
• Late-time Cosmology without Dark Sector but with Closed String Massless Sector
• Hubble Diagrams in the Jordan and Einstein Frames
• Inflationary $\alpha -$attractors and $F(R)$ gravity
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Phenomenological modification of horizon temperature
• Asymptotically Schwarzschild solutions in $f(R)$ extension of general relativity
• A Matter with an effective EoS interacting with a tachynic field in an accelerating Universe
• An exact solution of the higher-order gravity in standard radiation-dominated era
• Scalar-tensor cosmologies in a minisuperspace formulation: a case study
• Signature of $f\left(R\right)$ gravity via Lemaître-Tolman-Bondi inhomogeneous perturbations
• Loop-corrected scalar potentials and late-time acceleration in f(R) gravity
• Correspondence between modified gravity and 5D Ricci-flat cosmologies
• Energy momentum tensor of a non-minimally coupled scalar from the equivalence of the Einstein and Jordan frames
• Thermodynamics of irreversible particle creation phenomena and its cosmological consequence
• A Viable model for modified gravity
• f(R) cosmological solutions with varying speed of light
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation
• The Coincidence Problem in Holographic f(R) Gravity
• A Note on Gravitational Memory in F(R)-theories and their Equivalent Scalar-Tensor Theories
• Recovery of fluctuation spectrum evolution from tomographic shear spectra
• Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models
• Quasar continuum spectrum disfavors black holes with a magnetic monopole charge
• Gravastars in a Non-minimally Coupled Gravity with Electromagnetism
• An effective fluid description of scalar-vector-tensor theories under the sub-horizon and quasi-static approximations
• Energy Conditions in Palatini Approach to Modified $f(R)$ Gravity
• On the structural stability of a simple cosmological model in $R+\alpha R^2$ theory of gravity
• Power-law and Logarithmic Entropy Corrected Holographic Dark Energy Models in Brans-Dicke Cosmology with Granda-Oliveros Cut-Off
• Quantum cosmology in teleparallel gravity with a boundary term
• Parametrization of Born-Infeld Type Phantom Dark Energy Model