Papers › Exploring cosmic homogeneity with the BOSS DR12 galaxy sample
Exploring cosmic homogeneity with the BOSS DR12 galaxy sample
Pierros Ntelis, Jean-Christophe Hamilton, Jean-Marc Le Goff, Nicolas Guillermo Busca, Eric Aubourg, Pierre Laurent, James Rich, Etienne Burtin, Hélion du Mas des Bourboux, Nathalie Palanque Delabrouille, Christophe Yeche, David W. Hogg, Adam Myers, Jeremy Tinker, Julian Bautista, Timothée Delubac, Graziano Rossi, Donald P. Schneider Rita Toheiro, Mariana Vargas-Magaña
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In this study, we probe the transition to cosmic homogeneity in the Large Scale Structure (LSS) of the Universe using the CMASS galaxy sample of BOSS spectroscopic survey which covers the largest effective volume to date, 3 h⁻³ Gpc³ at 0.43 ≤z ≤0.7. We study the scaled counts-in-spheres, 𝒩(<r), and the fractal correlation dimension, 𝒟₂(r), to assess the homogeneity scale of the universe using a Landy & Szalay inspired estimator. Defining the scale of transition to homogeneity as the scale at which 𝒟₂(r) reaches 3 within 1%, i.e. 𝒟₂(r)>2.97 for r>ℛ_H, we find ℛ_H = (63.3±0.7) h⁻¹ Mpc, in agreement at the percentage level with the predictions of the ΛCDM model ℛ_H=62.0 h⁻¹ Mpc. Thanks to the large cosmic depth of the survey, we investigate the redshift evolution of the transition to homogeneity scale and find agreement with the ΛCDM prediction. Finally, we find that 𝒟₂ is compatible with $3$ at scales larger than $300\ h^{-1}\ $Mpc in all redshift bins. These results consolidate the Cosmological Principle and represent a precise consistency test of the $\Lambda CDM$ model.
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