Can the angular scale of cosmic homogeneity be used as a cosmological test?

Abstract

In standard cosmology, the cosmic homogeneity scale is the transition scale above which the patterns arising from non-uniformities -- such as groups and clusters of galaxies, voids, and filaments -- become indistinguishable from a random distribution of sources. Recently, different groups have investigated the feasibility of using such a scale as a cosmological test and arrived at different conclusions. In this paper, we complement and extend these studies by exploring the evolution of the spatial (${\mathcal{R}}_H$) and angular (${\theta }_H$) homogeneity scales with redshift, assuming a spatially flat, $\Lambda$-Cold Dark Matter %($\Lambda$CDM) universe and linear cosmological perturbation theory. We confirm previous results concerning the non-monotonicity of ${\mathcal{R}}_H$ with the matter density parameter ${\Omega }_{m0}$ but also show that it exhibits a monotonical behavior with the Hubble constant $H_0$ within a large redshift interval. More importantly, we find that, for $z\gtrsim 0.6$, the angular homogeneity scale not only presents a monotonical behavior with ${\Omega }_{m0}$ and $H_0$ but is quite sensitive to $H_0$, especially at higher redshifts. These results, therefore, raise the possibility of using ${\theta }_H$ as a new, model-independent way to constrain cosmological parameters.

10 pages, 24 figures

References in corpus (9)

• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Pantheon+ Analysis: Cosmological Constraints
• How accurate is Limber's equation?
• Homogeneity and isotropy in the 2MASS Photometric Redshift catalogue
• Cosmic homogeneity: a spectroscopic and model-independent measurement
• An information theory based search for homogeneity on the largest accessible scale
• CMASS galaxy sample and the ontological status of the cosmological principle
• Can the homogeneity scale be used as a standard ruler?
• Probing the large-scale structure of the universe through gravitational-wave observations

Cited by in corpus (2)

• Confirming the uniformity of the Hubble flow with Pantheon+ Supernovae
• Revisiting the CMB homogeneity scale: low multipoles removal effect and extragalactic foreground masking