The growth factor of matter perturbations in an f(R) gravity

Abstract

The growth of matter perturbations in the $f(R)$ model proposed by Starobinsky is studied in this paper. Three different parametric forms of the growth index are considered respectively and constraints on the model are obtained at both the $1\sigma$ and $2\sigma$ confidence levels, by using the current observational data for the growth factor. It is found, for all the three parametric forms of the growth index examined, that the Starobinsky model is consistent with the observations only at the $2\sigma$ confidence level.

15 pages, 5 figures

References in corpus (41)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dark Energy and the Accelerating Universe
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Disappearing cosmological constant in f(R) gravity
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• 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
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Are f(R) dark energy models cosmologically viable ?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Large Scale Structure as a Probe of Gravitational Slip
• Matter density perturbations and effective gravitational constant in modified gravity models of dark energy
• The shape of the SDSS DR5 galaxy power spectrum
• The 2dF-SDSS LRG and QSO Survey: QSO clustering and the L-z degeneracy
• Cluster Constraints on f(R) Gravity
• Testing LCDM with the Growth Function δ(a): Current Constraints
• The 2dF-SDSS LRG and QSO Survey: The LRG 2-Point Correlation Function and Redshift-Space Distortions
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles, Data Processing, Radiometer Characterization and Systematic Error Limits
• On the growth of linear perturbations
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• The dispersion of growth of matter perturbations in f(R) gravity
• The Type Ia Supernova Rate at z ~0.5 from the Supernova Legacy Survey
• Next Generation Redshift Surveys and the Origin of Cosmic Acceleration
• Observational constraints on the linear fluctuation growth rate
• The Beginning and Evolution of the Universe
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Cosmic Acceleration, Dark Energy and Fundamental Physics
• Growth Index of DGP Model and Current Growth Rate Data
• Parameterizing the Effect of Dark Energy Perturbations on the Growth of Structures
• "Detuned" f(R) gravity and dark energy
• Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations
• Probing the nature of cosmic acceleration
• Surveying the dark side

Cited by in corpus (11)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Wormholes in $R^2$-gravity within the $f(R,T)$ formalism
• Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era
• Growth factor in $f(T,\mathcal{T})$ gravity
• Testing modified gravity models with recent cosmological observations
• Investigating the accelerated expansion of the Universe through updated constraints on viable $f(R)$ models within the metric formalism
• Growth Rate in the Dynamical Dark Energy Models
• Investigating the Physical Properties of Traversable Wormholes in the Modified $f(R,T)$ Gravity
• Phase-space analysis of dark energy models in non-minimally coupled theories of gravity
• A direct detection method of galaxy intrinsic ellipticity-gravitational shear correlation in non-linear regimes using self-calibration
• Perspectives for studying the dark energy at z>2 with galaxy surveys