Observational Constraints on Growth Index with Cosmography

Abstract

In the literature, it was proposed that the growth index $\gamma$ is useful to distinguish the scenarios of dark energy and modified gravity. In the present work, we consider the constraints on the growth index $\gamma$ by using the latest observational data. To be model-independent, we use cosmography to describe the cosmic expansion history, and also expand the general $\gamma (z)$ as a Taylor series with respect to redshift $z$ or $y$-shift, $y=z/(1+z)$. We find that the present value ${\gamma }_0=\gamma (z=0)\simeq 0.42$ (for most of viable $f(R)$ theories) is inconsistent with the latest observational data at high confidence level (C.L.). On the other hand, ${\gamma }_0\simeq 0.55$ (for dark energy models in GR) can be consistent with the latest observational data at $1\sigma$ C.L. in 5 of the 9 cases under consideration, but is inconsistent beyond $2\sigma$ C.L. in the other 4 cases (while it is still consistent within the $3\sigma$ region). Thus, we can say nothing firmly about ${\gamma }_0\simeq 0.55$. We also find that a varying $\gamma (z)$ is favored.

arXiv comment14 pages, 4 figures, 5 tables, revtex4; v2: discussions added, Eur. Phys. J. C in press; v3: published version

References in corpus (93)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Modified Gravity and Cosmology
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
• Beyond the Cosmological Standard Model
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• Cosmology and Fundamental Physics with the Euclid Satellite
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• Cluster Abundance Constraints on Quintessence Models
• Cosmic Growth History and Expansion History
• Reconstructing Dark Energy
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cosmic Shear
• Jerk, snap, and the cosmological equation of state
• Cosmology with cosmic shear observations: a review
• The Effective Field Theory of Dark Energy
• Testing General Relativity in Cosmology
• Essential Building Blocks of Dark Energy
• Parameterized Beyond-Einstein Growth
• A discriminating probe of gravity at cosmological scales
• Cosmic Confusion: Degeneracies among Cosmological Parameters Derived from Measurements of Microwave Background Anisotropies
• Cosmography: Cosmology without the Einstein equations
• Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
• A Lower Growth Rate from Recent Redshift Space Distortion Measurements than Expected from Planck
• Robust Dark Energy Constraints from Supernovae, Galaxy Clustering, and Three-Year Wilkinson Microwave Anisotropy Probe Observations
• KiDS-450 + 2dFLenS: Cosmological parameter constraints from weak gravitational lensing tomography and overlapping redshift-space galaxy clustering
• Modified gravity models of dark energy
• Searching for modified growth patterns with tomographic surveys
• CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics
• Observational Tests of Modified Gravity
• KiDS+GAMA: Cosmology constraints from a joint analysis of cosmic shear, galaxy-galaxy lensing and angular clustering
• Evolution of the $f{\sigma }_8$ tension with the Planck15/$\Lambda$CDM determination and implications for modified gravity theories
• Cosmography and constraints on the equation of state of the Universe in various parametrizations
• Effective Field Theory of Cosmic Acceleration: an implementation in CAMB
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• Tension and constraints on modified gravity parametrizations of $G_{\text{eff}}(z)$ from growth rate and Planck data
• Testing gravity with CAMB and CosmoMC
• Distance Priors from Planck Final Release
• KiDS-450: The tomographic weak lensing power spectrum and constraints on cosmological parameters
• Separating Dark Physics from Physical Darkness: Minimalist Modified Gravity vs. Dark Energy
• CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
• The Hubble series: Convergence properties and redshift variables
• On the theory and applications of modern cosmography
• Testing General Relativity with Current Cosmological Data
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Model independent constraints on dark energy evolution from low-redshift observations
• The Cardassian expansion revisited: constraints from updated Hubble parameter measurements and Type Ia Supernovae data
• Probing modifications of General Relativity using current cosmological observations
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Cosmographic analysis with Chebyshev polynomials
• The dispersion of growth of matter perturbations in f(R) gravity
• Observational $H(z)$ Data and Cosmological Models
• The growth of matter perturbations in f(R) models
• Differentiating dark energy and modified gravity with galaxy redshift surveys
• Cosmographic Hubble fits to the supernova data
• Distance Priors from Planck and Dark Energy Constraints from Current Data
• High-Redshift Cosmography
• Cosmic Shear Results from the Deep Lens Survey - II: Full Cosmological Parameter Constraints from Tomography
• Cosmological Applications of Pade Approximant
• Cosmographic reconstruction of $f(\mathcal{T})$ cosmology
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• Chasing the phantom: A closer look at Type Ia supernovae and the dark energy equation of state
• Updated constraints on $f(\mathcal{R})$ gravity from cosmography
• Growth Index of DGP Model and Current Growth Rate Data
• Model Independent Tests of Cosmic Growth vs Expansion
• Cosmography: Supernovae Union2, Baryon Acoustic Oscillation, Observational Hubble Data and Gamma Ray Bursts
• Model-independent reconstruction of $f(T)$ teleparallel cosmology
• Cosmography beyond standard candles and rulers
• Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
• Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques
• How to Distinguish Dark Energy and Modified Gravity?
• Null Signal for the Cosmic Anisotropy in the Pantheon Supernovae Data
• Interacting Energy Components and Observational $H(z)$ Data
• What do we know about cosmography
• New Gravitational Scales in Cosmological Surveys
• Model-Independent Constraints on Lorentz Invariance Violation via the Cosmographic Approach
• Measuring growth index in a universe with massive neutrinos: A revisit of the general relativity test with the latest observations
• An analytical approximation of the luminosity distance in flat cosmologies with a cosmological constant
• Testing Einstein's gravity and dark energy with growth of matter perturbations: Indications for new Physics?
• New Generalizations of Cosmography Inspired by the Pade Approximant
• Non-parametric reconstruction of cosmological matter perturbations
• Extending the Gravitational Growth Framework
• Measuring growth index in a universe with sterile neutrinos
• Growth Index after the Planck Results
• Turning noise into signal: learning from the scatter in the Hubble diagram
• Non-parametric Reconstruction of Growth Index via Gaussian Processes
• Indistinguishability of Warm Dark Matter, Modified Gravity, and Coupled Cold Dark Matter
• Constraining the growth of perturbations with lensing of supernovae
• Smoothing expansion rate data to reconstruct cosmological matter perturbations
• Versatile parametrization of the perturbation growth rate on the phantom brane

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• High-redshift cosmography: Application and comparison with different methods
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Tsallis Holographic Dark Energy Reconsidered
• An Accurate Fitting Function For Scale-dependent Growth Rate in Hu-Sawicki $f(R)$ Gravity
• Cosmographic Footprints of Dynamical Dark Energy
• Growth index of matter perturbations in the light of Dark Energy Survey
• Joint Constraints on the Hubble Constant, Spatial Curvature, and Sound Horizon from the Late-time Universe with Cosmography
• Emergence of space and expansion of universe
• Cosmography of the minimally extended Varying Speed of Light Model
• On the convergence of cosmographic expansions in Lemaitre-Tolman-Bondi models
• Density perturbations in nonminimally coupled gravity: symptoms of Lagrangian density ambiguity
• Dynamics of Linear Scalar Perturbation in f(Q)+f(T) class of f(Q,T) gravity
• Evolution of matter perturbations in the context of cosmic slowing down