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arXiv · 2010.06635

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
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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.

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Rodrigo S. Gonçalves, Gabriela C. Carvalho, Uendert Andrade, Carlos A. P. Bengaly, Joel C. Carvalho, Jailson Alcaniz. 2020-10-13. Measuring the cosmic homogeneity scale with SDSS-IV DR16 Quasars. https://doi.org/10.1088/1475-7516%2F2021%2F03%2F029

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