The angular scale of homogeneity in the Local Universe with the SDSS blue galaxies

Abstract

We probe the angular scale of homogeneity in the local Universe using blue galaxies from the SDSS survey as a cosmological tracer. Through the scaled counts in spherical caps, $\mathcal{N}(<\theta )$, and the fractal correlation dimension, ${\mathcal{D}}_2(\theta )$, we find an angular scale of transition to homogeneity for this sample of ${\theta }_{\text{H}}=22.19^{\circ }\pm 1.02^{\circ }$. A comparison of this measurement with another obtained using a different cosmic tracer at a similar redshift range ($z<0.06$), namely, the HI extragalactic sources from the ALFALFA catalogue, confirms that both results are in excellent agreement (taking into account the corresponding bias correction). We also perform tests to asses the robustness of our results. For instance, we test if the size of the surveyed area is large enough to identify the transition scale we search for, and also we investigate a reduced sample of blue galaxies, obtaining in both cases a similar angular scale for the transition to homogeneity. Our results, besides confirming the existence of an angular scale of transition to homogeneity in different cosmic tracers present in the local Universe, show that the observed angular scale ${\theta }_{\text{H}}$ agrees well with what is expected in the $\Lambda$CDM scenario. Although we can not prove spatial homogeneity within the approach followed, our results provide one more evidence of it, strengthening the validity of the Cosmological Principle.

arXiv commentAccepted for publication in MNRAS

References in corpus (53)

• Maps of Dust IR Emission for Use in Estimation of Reddening and CMBR Foregrounds
• The Sloan Digital Sky Survey: Technical Summary
• The Dust Content and Opacity of Actively Star-Forming Galaxies
• Efficient Computation of CMB anisotropies in closed FRW models
• The physical properties of star forming galaxies in the low redshift universe
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Eleventh and Twelfth Data Releases of the Sloan Digital Sky Survey: Final Data from SDSS-III
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• The Arecibo Legacy Fast ALFA Survey: The ALFALFA Extragalactic HI Source Catalog
• Planck 2018 results. VII. Isotropy and Statistics of the CMB
• Planck 2015 results. XVI. Isotropy and statistics of the CMB
• CMB Anomalies after Planck
• Analytical approximations of K-corrections in optical and near-infrared bands
• The WiggleZ Dark Energy Survey: the transition to large-scale cosmic homogeneity
• A universal ultraviolet-optical colour-colour-magnitude relation of galaxies
• Detection of the velocity dipole in the radio galaxies of the NRAO VLA Sky Survey
• Is the Universe homogeneous?
• Angular Baryon Acoustic Oscillation measure at z=2.225 from the SDSS quasar survey
• The clustering of ALFALFA galaxies: dependence on HI mass, relationship to optical samples & clues on host halo properties
• Exploring cosmic homogeneity with the BOSS DR12 galaxy sample
• A 14 $h^{-3}$ Gpc${}^3$ study of cosmic homogeneity using BOSS DR12 quasar sample
• Seeing patterns in noise: Gigaparsec-scale `structures' that do not violate homogeneity
• Quenching star formation at intermediate redshifts: downsizing of the mass flux density in the green valley
• Scale Dependent Galaxy Bias in the SDSS as a function of Luminosity and Colour
• Low Variance at large scales of WMAP 9 year data
• Dipolar modulation in number counts of WISE-2MASS sources
• Anomalous CMB north-south asymmetry
• Large scale structure in the HI Parkes All-Sky Survey: Filling the Voids with HI galaxies?
• Star-galaxy classification in the Dark Energy Survey Y1 dataset
• Cosmic homogeneity: a spectroscopic and model-independent measurement
• Measuring the scale of cosmic homogeneity with SDSS-IV DR14 quasars
• Probing cosmological isotropy with Planck Sunyaev-Zeldovich galaxy clusters
• The scale of homogeneity in the local Universe with the ALFALFA catalogue
• Alignments of parity even/odd-only multipoles in CMB
• Is there evidence for anomalous dipole anisotropy in the large-scale structure?
• Testing homogeneity in the Sloan Digital Sky Survey Data Release Twelve with Shannon entropy
• Optical identifications of high-redshift galaxy clusters from Planck Sunyaev-Zeldovich survey
• Testing the anisotropy in the angular distribution of $Fermi$/GBM gamma-ray bursts
• On the large-scale angular distribution of short-Gamma ray bursts
• Isotropy analyses of the Planck convergence map
• Local analyses of Planck maps with Minkowski Functionals
• Testing isotropy in the Universe using photometric and spectroscopic data from the SDSS
• Update on Testing the Isotropy of the Properties of Gamma-Ray Bursts
• Measuring the transition to homogeneity with photometric redshift surveys
• Probing statistical isotropy of cosmological radio sources using SKA
• The nature of extremely red galaxies in the local universe
• Testing Homogeneity with Galaxy Star Formation Histories
• Tomographic local 2D analyses of the WISExSuperCOSMOS all-sky galaxy catalogue
• CMB low multipole alignments in the $\mathbf{\Lambda }$CDM and Dipolar models
• Issues in the Philosophy of Cosmology
• Testing statistical Isotropy in Cosmic Microwave Background Polarization maps
• Topology and the suppression of CMB large-angle correlations
• Can the homogeneity scale be used as a standard ruler?

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• Baryon acoustic scale at $z_{\eff} = 0.166$ with the SDSS blue galaxies
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• The maximum extent of the filaments and sheets in the cosmic web: an analysis of the SDSS DR17
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