Cosmological constraints from cosmic homogeneity. (arXiv:1904.06135v2 [astro-ph.CO] UPDATED)

Cosmological constraints from cosmic homogeneity. (arXiv:1904.06135v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Ntelis_P/0/1/0/all/0/1">Pierros Ntelis</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Hawken_A/0/1/0/all/0/1">Adam James Hawken</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Escoffier_S/0/1/0/all/0/1">Stephanie Escoffier</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Ealet_A/0/1/0/all/0/1">Anne Ealet</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Tilquin_A/0/1/0/all/0/1">Andre Tilquin</a>

In this paper, we study the normalised characteristic scale of transition to
cosmic homogeneity, $mathcal{R}_H/d_V$, as a cosmological probe. We use a
compilation of SDSS galaxy samples, comprising more than $10^6$ galaxies in the
redshift range $0.17 leq z leq 2.2$ within the largest comoving volume to
date, $sim 8 h^{-3}mathrm{Gpc}^3$. We show that these samples can be
described by a single bias model as a function of redshift. By combining our
measurements with prior Cosmic Microwave Background and Lensing information
from the Planck satellite, we constrain the total matter density ratio of the
universe, $Omega_m = 0.363 pm 0.025$, and the Dark Energy density ratio,
$Omega_{Lambda} = 0.649 pm 0.021$, improving the values from Planck alone by
31% and 28%, respectively. Our results are compatible with a flat $Lambda$CDM
model. These results show the complementarity of the normalised homogeneity
scale with other cosmological probes and open new roads to cosmometry.

In this paper, we study the normalised characteristic scale of transition to
cosmic homogeneity, $mathcal{R}_H/d_V$, as a cosmological probe. We use a
compilation of SDSS galaxy samples, comprising more than $10^6$ galaxies in the
redshift range $0.17 leq z leq 2.2$ within the largest comoving volume to
date, $sim 8 h^{-3}mathrm{Gpc}^3$. We show that these samples can be
described by a single bias model as a function of redshift. By combining our
measurements with prior Cosmic Microwave Background and Lensing information
from the Planck satellite, we constrain the total matter density ratio of the
universe, $Omega_m = 0.363 pm 0.025$, and the Dark Energy density ratio,
$Omega_{Lambda} = 0.649 pm 0.021$, improving the values from Planck alone by
31% and 28%, respectively. Our results are compatible with a flat $Lambda$CDM
model. These results show the complementarity of the normalised homogeneity
scale with other cosmological probes and open new roads to cosmometry.

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