Measuring the cosmic homogeneity scale with SDSS-IV DR16 quasars
Rodrigo S. Gonçalves, Gabriela C. Carvalho, Uendert Andrade, Carlos A.P. Bengaly, Joel C. Carvalho, Jailson Alcaniz
Abstract
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 ∼ 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 ΛCDM 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.