The Homogeneity Scale of the universe

Abstract

In this study, we probe the cosmic homogeneity with the BOSS CMASS galaxy sample in the redshift region of $0.43<z<0.7$. We use the normalised counts-in-spheres estimator $\mathcal{N}(<r)$ and the fractal correlation dimension ${\mathcal{D}}_2(r)$ to assess the homogeneity scale of the universe. We verify that the universe becomes homogenous on scales greater than ${\mathcal{R}}_H\simeq 64.3\pm 1.6h^{-1}Mpc$, consolidating the Cosmological Principle with a consistency test of $\Lambda$CDM model at the percentage level. Finally, we explore the evolution of the homogeneity scale in redshift.

arXiv comment5 pages, 2 figures, Talk presented at The 51th Rencontres de Moriond, March 19-26, 2016, La Thuile, Italy; to appear in the Moriond Conference Proceedings

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