Structure formation in the Deser-Woodard nonlocal gravity model: a reappraisal

Abstract

In this work, we extend previous analyses of the structure formation in the $f({\square }^{-1}R)$ model of nonlocal gravity proposed by Deser and Woodard (DW), which reproduces the background expansion of $\Lambda$CDM with no need of a cosmological constant nor of any dimensional constant beside Newton's one. A previous analysis based on redshift-space distortions (RSD) data concluded that the model was ruled out. In this work we revisit the issue and find that, when recast in a localized model, the DW model is not ruled out and actually gives a better fit to RSD data than $\Lambda$CDM. At the same time, the model predicts a slightly lower value of ${\sigma }_8$ than $\Lambda$CDM, in agreement with recent estimates based on lensing. We also produce analytical approximations of the two modified gravity functions and of $f{\sigma }_8(z)$ as a function of redshift. Finally, we also show how much the fit depends on initial conditions when these are generalized with respect to a standard matter-dominated era.

arXiv comment11 pages, 4 figures

References in corpus (39)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• KiDS-450: Cosmological parameter constraints from tomographic weak gravitational lensing
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• The 6dF Galaxy Survey: z \approx 0 measurement of the growth rate and sigma_8
• Planck 2015 results. XXIV. Cosmology from Sunyaev-Zeldovich cluster counts
• Nonlocal Cosmology
• Reconstructing the history of structure formation using redshift distortions
• Interpreting large-scale redshift-space distortion measurements
• Planck 2015 results. XIV. Dark energy and modified gravity
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Galaxy clustering and redshift-space distortions at z=0.8 in the first data release
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey (BOSS): measuring growth rate and geometry with anisotropic clustering
• A measurement of gravitational lensing of the microwave background using South Pole Telescope data
• The 2dF Galaxy Redshift Survey: Spherical Harmonics analysis of fluctuations in the final catalogue
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the large-scale two-point correlation function
• Evidence for dark energy from the cosmic microwave background alone using the Atacama Cosmology Telescope lensing measurements
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: single-probe measurements from CMASS anisotropic galaxy clustering
• The Weak Lensing Signal and the Clustering of BOSS Galaxies II: Astrophysical and Cosmological Constraints
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Nonlocal Models of Cosmic Acceleration
• Newtonian limit of nonlocal cosmology
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: measuring structure growth using passive galaxies
• How early is early dark energy?
• Observational Viability and Stability of Nonlocal Cosmology
• Screening of cosmological constant in non-local gravity
• Screening of cosmological constant in non-local cosmology
• Structure formation in a nonlocally modified gravity model
• Validating estimates of the growth rate of structure with modified gravity simulations
• Phantom energy mediates a long-range repulsive force
• Nonlocal Gravity and Structure in the Universe
• Physical Evidence for Dark Energy
• Perturbative loop corrections and nonlocal gravity
• Beyond consistency test of gravity with redshift-space distortions at quasi-linear scales

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• Observational Constraints in Nonlocal Gravity: the Deser-Woodard Case
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