Cosmological Consequences of Exponential Gravity in Palatini Formalism

Abstract

We investigate cosmological consequences of a class of exponential $f(R)$ gravity in the Palatini formalism. By using the current largest type Ia Supernova sample along with determinations of the cosmic expansion at intermediary and high-$z$ we impose tight constraints on the model parameters. Differently from other $f(R)$ models, we find solutions of transient acceleration, in which the large-scale modification of gravity will drive the Universe to a new decelerated era in the future. We also show that a viable cosmological history with the usual matter-dominated era followed by an accelerating phase is predicted for some intervals of model parameters.

6 pages, 4 figures, 1 table, LaTeX

References in corpus (63)

• f(R) theories
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Conditions for the cosmological viability of f(R) dark energy models
• f(R,L_m) gravity
• Are f(R) dark energy models cosmologically viable ?
• The Large Scale Structure of f(R) Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Energy conditions in f(R)-gravity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• The (pseudo)issue of the conformal frame revisited
• Non-linear evolution of f(R) cosmologies II: power spectrum
• The matter power spectrum in f(R) gravity
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Thin accretion disks in f(R) modified gravity models
• Cosmological evolution in exponential gravity
• Physical non-equivalence of the Jordan and Einstein frames
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Generalized virial theorem in f(R) gravity
• Constraining f(R) theories with the energy conditions
• Aspects of cosmological expansion in F(R) gravity models
• Power-laws f(R) theories are cosmologically unacceptable
• Spherically symmetric spacetimes in f(R) gravity theories
• Constraints on holographic dark energy models using the differential ages of passively evolving galaxies
• Scalar-field-dominated cosmology with a transient accelerating phase
• Initial and final de Sitter universes from modified $f(R)$ gravity
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• Theory of gravitation theories: a no-progress report
• The viability of theories with matter coupled to the Ricci scalar
• Curvature scalar instability in f(R) gravity
• Constraints on f(R) Cosmology in the Palatini Formalism
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• The Cauchy problem for metric-affine f(R)-gravity in presence of perfect-fluid matter
• The Cauchy problem of f(R) gravity
• Energy conditions in f(R) gravity and Brans-Dicke theories
• Gödel-type universes in f(R) gravity
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• The Jebsen-Birkhoff theorem in alternative gravity
• Cosmological consequences of a possible $\Lambda$-dark matter interaction
• Quantized fields and gravitational particle creation in f(R) expanding universes
• Cosmological Constraints from Hubble Parameter on f(R) Cosmologies
• Consistency of $f(R)=\sqrt{R^2-R_0^2}$ Gravity with the Cosmological Observations in Palatini Formalism
• $f(R)$ gravity theories in the Palatini Formalism constrained from strong lensing
• Gödel-type universes in Palatini f(R) gravity
• Projected Constraints on Modified Gravity Cosmologies from 21 cm Intensity Mapping
• Expansion history and f(R) modified gravity
• Palatini f(R) gravity as a fixed point
• Correspondence between Jordan-Einstein frames and Palatini-metric formalisms
• Cosmographic constraints on a class of Palatini f(R) gravity
• A comment on "The Cauchy problem of f(R)- gravity", Class. Quantum Grav., 24, 5667 (2007), arXiv:0709.4414
• Quantum vacuum effects as generalized f(R) gravity. Application to stars
• Stable, Accelerating Universes in Modified Gravity
• Coupled quintessence with a possible transient accelerating phase
• Reply to `A comment on `The Cauchy problem of f(R) gravity''
• Hamiltonian perturbation theory in f(R) gravity

Cited by in corpus (14)

• New observational constraints on $f(R)$ gravity from cosmic chronometers
• Wormholes in exponential $f(R,T)$ gravity
• Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Cosmic acceleration from modified gravity with Palatini formalism
• Strong energy condition and the repulsive character of f(R) gravity
• Cosmological Hysteresis and the Cyclic Universe
• Testing for dynamical dark energy models with redshift-space distortions
• Cosmology with Hu-Sawicki gravity in Palatini Formalism
• Bayesian comparison of nonstandard cosmologies using type Ia supernovae and BAO data
• Future dynamics in f(R) theories
• Joint Analysis of Constraints on f(R) Parametrization from Recent Cosmological Observations
• Cosmology in Palatini theories of gravity
• Cosmography and the redshift drift in Palatini $f(\mathcal{R})$ theories