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.

8 pages, 3 figures, accepted for publication in JCAP

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