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.

11 pages, 1 figure

References in corpus (2)

• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Lectures on Mathematical Cosmology

Cited by in corpus (98)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Extra force in $f(R)$ modified theories of gravity
• 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
• Conditions for the cosmological viability of f(R) dark energy models
• Wormhole geometries in f(R) modified theories of gravity
• The Large Scale Structure of f(R) Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Modified gravity with arbitrary coupling between matter and geometry
• The Newtonian Limit of F(R) gravity
• Energy conditions in f(R)-gravity
• Dark energy and dark matter as curvature effects
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Dark matter as a geometric effect in f(R) gravity
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• A f(R) gravity without cosmological constant
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• The evolution of density perturbations in f(R) gravity
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Cosmological Constraints on f(R) Acceleration Models
• A viability criterion for modified gravity with an extra force
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Thin accretion disks in f(R) modified gravity models
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Viability of f(R) Theories with Additional Powers of Curvature
• Do f(R) theories matter?
• Generalized virial theorem in f(R) gravity
• Constraining f(R) theories with the energy conditions
• Aspects of cosmological expansion in F(R) gravity models
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• On the non-minimal gravitational coupling to matter
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• On the way from matter-dominated era to dark energy universe
• Thermodynamics in $F(R)$ gravity with phantom crossing
• The phase space view of f(R) gravity
• Power-laws f(R) theories are cosmologically unacceptable
• On the Stability of a class of Modified Gravitational Models
• Modified gravity as an alternative for Lambda-CDM cosmology
• f(R) Gravity with Torsion: The Metric-Affine Approach
• Interacting dark energy in $f(R)$ gravity
• Cosmological dynamics of Scalar--Tensor Gravity
• f(R)-Brane
• Initial and final de Sitter universes from modified $f(R)$ gravity
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Theory of gravitation theories: a no-progress report
• The viability of theories with matter coupled to the Ricci scalar
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Dynamics of f(R)-cosmologies containing Einstein static models
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• The Cauchy problem of f(R) gravity
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• The evolution of cosmological gravitational waves in f(R) gravity
• Generalized second law in modified theory of gravity
• Accelerating Universe in Modified Theories of Gravity
• Black hole entropy in modified gravity models
• Dark energy and particle mixing
• 6+1 lessons from f(R) gravity
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity
• Stationary vs. singular points in an accelerating FRW cosmology derived from six-dimensional Einstein-Gauss-Bonnet gravity
• A general solution in the Newtonian limit of f(R)- gravity
• Cosmological Constraints from Hubble Parameter on f(R) Cosmologies
• Perturbative aspects and conformal solutions of F(R) gravity
• Multiple Lambda cosmology: dark fluid with time-dependent equation of state as classical analog of cosmological landscape
• Modified f(R) gravity from scalar-tensor theory and inhomogeneous EoS dark energy
• The Newtonian limit of metric gravity theories with quadratic Lagrangians
• Standard Cosmological Evolution in a Wide Range of f(R) Models
• Constraining Extended Theories of Gravity using Solar System Tests
• Generalized Israel Junction Conditions for a Fourth-Order Brane World
• Acceleration of the Universe via f(R) Gravities and The Stability of Extra Dimensions
• Quantum Corrections in Quintessence Models
• f(R) Gravities à la Brans-Dicke
• Homogeneous cosmologies in generalized modified gravity
• Accelerated expansion in modified gravity with a Yukawa-like term
• The dynamical viability of scalar-tensor gravity theories
• Vanishing Cosmological Constant in Modified Gauss-Bonnet Gravity with Conformal Anomaly
• Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries
• Oscillatory behavior of closed isotropic models in second order gravity theory
• Covariance of dark energy parameters and sound speed constraints from large HI surveys
• De Sitter cosmology from Gauss-Bonnet dark energy with quantum effects
• Multicomponent solution in modified theory of gravity in the early universe
• A Note on de Sitter Embedding of $f(R)$ Theories
• Parametrization of Born-Infeld Type Phantom Dark Energy Model