Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters

Abstract

We study the $f(R)$ theory of gravity using metric approach. In particular we investigate the recently proposed model by Hu-Sawicki, Appleby $-$ Battye and Starobinsky. In this model, the cosmological constant is zero in flat space time. The model passes both the Solar system and the laboratory tests. But the model parameters need to be fine tuned to avoid the finite time singularity recently pointed in the literature. We check the concordance of this model with the $H(z)$ and baryon acoustic oscillation data. We find that the model resembles the $\Lambda$CDM at high redshift. However, for some parameter values there are variations in the expansion history of the universe at low redshift.

16 pages and 9 figures, typos corrected, few references and minor clarifications added, revised version to appera in PRD

References in corpus (47)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• 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
• Conditions for the cosmological viability of f(R) dark energy models
• 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
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Limit to General Relativity in f(R) theories of gravity
• The Newtonian Limit of F(R) gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Energy conditions in f(R)-gravity
• 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
• A Singularity Problem with f(R) Dark Energy
• From inflation to dark energy in the non-minimal modified gravity
• Relativistic stars in f(R) gravity, and absence thereof
• The evolution of density perturbations in f(R) gravity
• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Dynamics of Nonlocal Cosmology
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• A viability criterion for modified gravity with an extra force
• Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
• Generalized virial theorem in f(R) gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Aspects of cosmological expansion in F(R) gravity models
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• Generalized Chaplygin gas model: constraints from Hubble parameter versus Redshift Data
• The phase space view of f(R) gravity
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• Viable Palatini-f(R) cosmologies with generalized dark matter
• Generalized second law in modified theory of gravity
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• The effect of modified gravity on weak lensing
• Energy-momentum complexes in f(R) theories of gravity
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity
• Consistency of $f(R)=\sqrt{R^2-R_0^2}$ Gravity with the Cosmological Observations in Palatini Formalism
• Reconstructing f(R) theory according to holographic dark energy
• Dark energy generated from a (super)string effective action with higher order curvature corrections and a dynamical dilaton
• Standard Cosmological Evolution in a Wide Range of f(R) Models
• Natural Phantom Dark Energy, Wiggling Hubble Parameter $H(z)$ and Direct $H(z)$ Data
• Constraining Newtonian stellar configurations in f(R) theories of gravity

Cited by in corpus (8)

• Approaches to Understanding Cosmic Acceleration
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Newtonian limit of nonlocal cosmology
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• Gödel-type universes in f(R) gravity
• Cosmological constraints on the Hu-Sawicki modified gravity scenario
• A primer on problems and prospects of dark energy