Growth Index of DGP Model and Current Growth Rate Data

Abstract

Recently, some efforts focus on differentiating dark energy and modified gravity with the growth function $\delta (z)$. In the literature, it is useful to parameterize the growth rate $f\equiv d\ln \delta /d\ln a={\Omega }_m^{\gamma }$ with the growth index $\gamma$. In this note, we consider the general DGP model with any ${\Omega }_k$. We confront the growth index of DGP model with currently available growth rate data and find that the DGP model is still consistent with it. This implies that more and better growth rate data are required to distinguish between dark energy and modified gravity.

12 pages, 1 table, 2 figures, Latex2e; v2: discussions added, Phys. Lett. B in press; v3: published version

References in corpus (75)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological parameters from SDSS and WMAP
• 4D Gravity on a Brane in 5D Minkowski Space
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• The Cosmological Constant
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Dark Energy and the Accelerating Universe
• The 3D power spectrum of galaxies from the SDSS
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Cosmological Results from High-z Supernovae
• Statefinder -- a new geometrical diagnostic of dark energy
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• The Fourth Data Release of the Sloan Digital Sky Survey
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Cluster Abundance Constraints on Quintessence Models
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• Cosmology on a Brane in Minkowski Bulk
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• Cosmic Growth History and Expansion History
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• Improved constraints on dark energy from Chandra X-ray observations of the largest relaxed galaxy clusters
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• Scrutinizing Exotic Cosmological Models Using ESSENCE Supernova Data Combined with Other Cosmological Probes
• Measuring the dark side (with weak lensing)
• The Linear Theory Power Spectrum from the Lyman-alpha Forest in the Sloan Digital Sky Survey
• Crossing the Phantom Divide: Theoretical Implications and Observational Status
• The ESSENCE Supernova Survey: Survey Optimization, Observations, and Supernova Photometry
• Probing Newton's Constant on Vast Scales: DGP Gravity, Cosmic Acceleration and Large Scale Structure
• Distinguishing Modified Gravity from Dark Energy
• The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
• Structure formation in the DGP cosmological model
• Dark Energy versus Modified Gravity
• Testing LCDM with the Growth Function δ(a): Current Constraints
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Separating Dark Physics from Physical Darkness: Minimalist Modified Gravity vs. Dark Energy
• Categorizing Different Approaches to the Cosmological Constant Problem
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Beam Profiles, Data Processing, Radiometer Characterization and Systematic Error Limits
• On the growth of linear perturbations
• The Paths of Quintessence
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• What Do We Really Know About Cosmic Acceleration?
• Dark Energy: the Cosmological Challenge of the Millennium
• Dark Energy Models in the w - w' Plane
• The Type Ia Supernova Rate at z ~0.5 from the Supernova Legacy Survey
• Redshift Distortions as a Probe of Gravity
• Observational constraints on the linear fluctuation growth rate
• The Beginning and Evolution of the Universe
• Is Modified Gravity Required by Observations? An Empirical Consistency Test of Dark Energy Models
• Observational constraints on the acceleration of the Universe
• Cosmic Acceleration, Dark Energy and Fundamental Physics
• The cosmological constant and dark energy in braneworlds
• Constraints on the DGP Model from Recent Supernova Observations and Baryon Acoustic Oscillations
• Probing the curvature of the Universe from supernova measurement
• Accelerating cosmologies tested by distance measures
• How to Distinguish Dark Energy and Modified Gravity?
• Cosmological perturbations in the DGP braneworld: numeric solution
• Near-Horizon Solution for DGP Perturbations
• Resource Letter: Dark Energy and the Accelerating Universe
• A Consistency Relation in Cosmology
• Cosmic acceleration in brane cosmology
• Direct evidence of acceleration from distance modulus redshift graph
• Constraining the growth factor with baryon oscillations
• Observational approaches to understanding dark energy

Cited by in corpus (65)

• Modified Gravity and Cosmology
• Massive Gravity
• Dark Energy
• Testing General Relativity in Cosmology
• Viable f(T) models are practically indistinguishable from LCDM
• Observational Constraints on Cosmological Models with the Updated Long Gamma-Ray Bursts
• The dispersion of growth of matter perturbations in f(R) gravity
• The cosmological bulk flow: consistency with $\Lambda$CDM and $z\approx 0$ constraints on ${\sigma }_8$ and $\gamma$
• Observational constraints on viable f(R) parametrizations with geometrical and dynamical probes
• Growth factor parametrization and modified gravity
• New Cosmic Accelerating Scenario without Dark Energy
• The Observed Growth of Massive Galaxy Clusters III: Testing General Relativity on Cosmological Scales
• Parameterizing the Effect of Dark Energy Perturbations on the Growth of Structures
• Cosmological equivalence between the Finsler-Randers space-time and the DGP gravity model
• Growth factor and galaxy bias from future redshift surveys: a study on parametrizations
• How to Distinguish Dark Energy and Modified Gravity?
• Linear growth in power law $f(T)$ gravity
• Growth factor parametrization in curved space
• Testing the effect of $H_0$ on $f{\sigma }_8$ tension using a Gaussian Process method
• Dark energy: investigation and modeling
• The growth of linear perturbations in the DGP model
• The growth index of matter perturbations and modified gravity
• Cosmic acceleration from modified gravity with Palatini formalism
• Probing deviations from General Relativity with the Euclid spectroscopic survey
• Growth of matter perturbations in clustered holographic dark energy cosmologies
• A parametrization for the growth index of linear matter perturbations
• Probing non-standard gravity with the growth index: a background independent analysis
• Testing Einstein's gravity and dark energy with growth of matter perturbations: Indications for new Physics?
• Characterizing the linear growth rate of cosmological density perturbations in an f(R) model
• Constraining the curvature density parameter in cosmology
• Cosmic Constraint to DGP Brane Model: Geometrical and Dynamical Perspectives
• Agegraphic dark energy: growth index and cosmological implications
• Bright High z SnIa: A Challenge for LCDM?
• The growth factor of matter perturbations in an f(R) gravity
• Growth index of matter perturbations in running vacuum models
• Cosmological Models and Latest Observational Data
• The $\Lambda$CDM growth rate of structure revisited
• Precision growth index using the clustering of cosmic structures and growth data
• A new method for the determination of the growth rate from galaxy redshift surveys
• Growth Index after the Planck Results
• Generalized modified gravity with the second order acceleration equation
• Confronting DGP Braneworld Gravity with Cosmic Observations after Planck Data
• The growth index of matter perturbations using the clustering of dark energy
• The growth of matter perturbations in the f(T) gravity
• Growth index of matter perturbations in the light of Dark Energy Survey
• Observational Constraints on Growth Index with Cosmography
• Probing the nature of cosmic acceleration
• Indistinguishability of Warm Dark Matter, Modified Gravity, and Coupled Cold Dark Matter
• Dynamics and constraints of the dissipative Liouville cosmology
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• Constraints on dark energy from baryon acoustic peak and galaxy cluster gas mass measurements
• Global properties of the growth index of matter inhomogeneities in the universe
• An analytic calculation of the growth index for $f(R)$ dark energy model
• Dark Energy Cosmology with the Alternative Cosmic Microwave Background Data
• Reconstructing the growth index $\gamma$ with Gaussian Processes
• Global properties of the growth index: mathematical aspects and physical relevance
• Improved parametrization of the growth index for dark energy and DGP models
• Constraints on scalar-tensor theories of gravity from observations
• On the consistency of the expansion with the perturbations
• Versatile parametrization of the perturbation growth rate on the phantom brane
• Constraining the runaway dilaton and quintessential dark energy
• Stability of Differentially Rotating Disks in $f(T)$ Theory
• Conformal Frame dependence on Cosmological Observations in Scalar-Tensor Theories of Gravity
• Density pertubation of unparticle dark matter in the flat Universe
• Testing Scale-Dependent Suppression of Structure Growth in the Linear Regime