The homogeneity scale and the growth rate of cosmic structures

Abstract

We propose a novel approach to obtain the growth rate of cosmic structures, $f(z)$, from the evolution of the cosmic homogeneity scale, $R_{\text{H}}(z)$. Our methodology needs two ingredients in a specific functional form: $R_{\text{H}}(z)$ data and the matter two-point correlation function today, i.e., $\xi (r,z=0)$. We use a Gaussian Process approach to reconstruct the function $R_{\text{H}}$. In the absence of suitable observational information of the matter correlation function in the local Universe, $z\simeq 0$, we assume a fiducial cosmology to obtain $\xi (r,z=0)$. For this reason, our final result turns out to be a consistency test of the cosmological model assumed. Our results show a good agreement between: (i) the growth rate $f^{R_{\text{H}}}(z)$ obtained through our approach, (ii) the $f^{\Lambda \text{CDM}}(z)$ expected in the fiducial model, and (iii) the best-fit $f(z)$ from data compiled in the literature. Moreover, using this data compilation, we perform a Gaussian Process to reconstruct the growth rate function $f^{\text{data}}(z)$ and compare it with the function $f^{R_{\text{H}}}(z)$ finding a concordance of $<2\sigma$, a good result considering the few data available for both reconstruction processes. With more accurate $R_{\text{H}}(z)$ data, from forthcoming surveys, the homogeneity scale function might be better determined and would have the potential to discriminate between $\Lambda$CDM and alternative scenarios as a new cosmological observable.

Accepted for publication in MNRAS

References in corpus (18)

• Cosmological Constraints from the SDSS Luminous Red Galaxies
• A test of the nature of cosmic acceleration using galaxy redshift distortions
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: measurement of the BAO and growth rate of structure of the luminous red galaxy sample from the anisotropic correlation function between redshifts 0.6 and 1
• Gaussian Process Cosmography
• The 2dF-SDSS LRG and QSO Survey: QSO clustering and the L-z degeneracy
• The 2dF-SDSS LRG and QSO Survey: The LRG 2-Point Correlation Function and Redshift-Space Distortions
• Arbitrating the $S_8$ discrepancy with growth rate measurements from Redshift-Space Distortions
• CP Violation in Leptonic Rare $B_s^0$ Decays as a Probe of New Physics
• Homogeneity and isotropy in the 2MASS Photometric Redshift catalogue
• Measurements of $H_0$ and reconstruction of the dark energy properties from a model-independent joint analysis
• BAO angular scale at z_eff = 0.11 with the SDSS blue galaxies
• Constraining neutrino mass with weak lensing Minkowski Functionals
• The growth rate of cosmic structures in the local Universe with the ALFALFA survey
• Cosmic homogeneity: a spectroscopic and model-independent measurement
• The angular scale of homogeneity in the Local Universe with the SDSS blue galaxies
• Isotropy analyses of the Planck convergence map
• A note on the large-angle anisotropies in the WMAP cut-sky maps
• North-South non-Gaussian asymmetry in PLANCK CMB maps

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