Measuring the cosmic homogeneity scale with SDSS-IV DR16 Quasars

Abstract

We report measurements of the scale of cosmic homogeneity ($r_h$) using the recently released quasar sample of the sixteenth data release of the Sloan Digital Sky Survey (SDSS-IV DR16). We perform our analysis in 2 redshift bins lying in the redshift interval $2.2<z<3.2$ by means of the fractal dimension $D_2$. By adopting the usual assumption that $r_h$ is obtained when $D_2\sim 2.97$, that is, within 1% of $D_2=3$, we find the cosmic homogeneity scale with a decreasing trend with redshift, and in good agreement with the $\Lambda$CDM prediction. Our results confirm the presence of a homogeneity scale in the spatial distribution of quasars as predicted by the fundamental assumptions of the standard cosmological model.

arXiv comment8 pages, 3 figures, accepted for publication in JCAP

References in corpus (36)

• Efficient Computation of CMB anisotropies in closed FRW models
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• The Sloan Digital Sky Survey Quasar Catalog: Sixteenth Data Release
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Dark Energy Survey Year 1 Results: Constraints on Extended Cosmological Models from Galaxy Clustering and Weak Lensing
• Cosmology with Phase 1 of the Square Kilometre Array; Red Book 2018: Technical specifications and performance forecasts
• Cosmic homogeneity demonstrated with luminous red galaxies
• A Test of the Cosmological Principle with Quasars
• Clustering of Low-Redshift (z <= 2.2) Quasars from the Sloan Digital Sky Survey
• The WiggleZ Dark Energy Survey: the transition to large-scale cosmic homogeneity
• Probing cosmic isotropy with a new X-ray galaxy cluster sample through the $L_{\text{X}}-T$ scaling relation
• Inhomogeneity and the foundations of concordance cosmology
• Establishing homogeneity of the universe in the shadow of dark energy
• Is the Universe homogeneous?
• Cross-Correlation of SDSS DR7 Quasars and DR10 BOSS Galaxies: The Weak Luminosity Dependence of Quasar Clustering at z~0.5
• Fractal Dimension as a measure of the scale of Homogeneity
• The scale of homogeneity of the galaxy distribution in SDSS DR6
• A direct measurement of the linear bias of mid-infrared-selected quasars at z~1 using cosmic microwave background lensing
• Hints of a Local Matter Underdensity or Modified Gravity in the Low $z$ Pantheon data
• Homogeneity and isotropy in the 2MASS Photometric Redshift catalogue
• Exploring cosmic homogeneity with the BOSS DR12 galaxy sample
• A 14 $h^{-3}$ Gpc${}^3$ study of cosmic homogeneity using BOSS DR12 quasar sample
• Absence of anti-correlations and of baryon acoustic oscillations in the galaxy correlation function from the Sloan Digital Sky Survey DR7
• Very large scale correlations in the galaxy distribution
• Cosmic homogeneity: a spectroscopic and model-independent measurement
• Measuring the scale of cosmic homogeneity with SDSS-IV DR14 quasars
• A Model-independent Test of Cosmic Isotropy with Low-z Pantheon Supernovae
• Testing homogeneity in the Sloan Digital Sky Survey Data Release Twelve with Shannon entropy
• Revisiting the statistical isotropy of GRB sky distribution
• A method for testing the cosmic homogeneity with Shannon entropy
• The cosmological principle is not in the sky
• Testing the Cosmological Principle in the radio sky
• An information theory based search for homogeneity on the largest accessible scale
• Cosmological homogeneity scale estimates are dressed
• Dark matter and dark energy proposals: maintaining cosmology as a true science?
• Characterising cosmic inhomogeneity with anomalous diffusion

Cited by in corpus (16)

• Is the Observable Universe Consistent with the Cosmological Principle?
• Euclid: Forecasts from redshift-space distortions and the Alcock-Paczynski test with cosmic voids
• The homogeneity scale and the growth rate of cosmic structures
• The multipole expansion of the local expansion rate
• Testing the isotropy of cosmic acceleration with Pantheon+ and SH0ES: A cosmographic analysis
• Galaxy Distributions as Fractal Systems
• Large-scale clustering amongst Fermi blazars; evidence for axis alignments?
• Non-parametric reconstructions of cosmic curvature: current constraints and forecasts
• The maximum extent of the filaments and sheets in the cosmic web: an analysis of the SDSS DR17
• Testing time-delayed cosmology
• Can the angular scale of cosmic homogeneity be used as a cosmological test?
• New Constraints on Anisotropic Expansion from Supernovae Type Ia
• Evolution of Cluster Alignments as Evidence of Large-scale Structure Formation in the Universe
• Backreaction in cosmic screening approach
• Revisiting the CMB homogeneity scale: low multipoles removal effect and extragalactic foreground masking
• Confirming the uniformity of the Hubble flow with Pantheon+ Supernovae