https://doi.org/10.1140/epjc/s10052-024-13011-1
Regular Article - Theoretical Physics
Can the angular scale of cosmic homogeneity be used as a cosmological test?
1
Observatório Nacional, 20921-400, Rio de Janeiro, RJ, Brazil
2
Departamento de Física, Universidade Federal Rural do Rio de Janeiro, 23897-000, Seropédica, RJ, Brazil
3
Department of Physics, University of Michigan, 450 Church St, 48109-1040, Ann Arbor, MI, USA
4
Faculdade de Tecnologia, Universidade do Estado do Rio de Janeiro, 27537-000, Resende, RJ, Brazil
Received:
9
January
2024
Accepted:
11
June
2024
Published online:
1
July
2024
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 (
) and angular (
) homogeneity scales with redshift, assuming a spatially flat, 
-Cold Dark Matter universe and linear cosmological perturbation theory. We confirm previous results concerning the non-monotonicity of with the matter density parameter 
but also show that it exhibits a monotonical behavior with the Hubble constant 
within a large redshift interval. More importantly, we find that, for 
, presents a monotonical behavior with , as well as for 
the entire redshift interval analyzed. We find also that the angular homogeneity scale is sensitive to , especially at higher redshifts. Using the currently available measurements, we illustrate the constraints on the – plane through a MCMC analysis and show the feasibility of using the angular homogeneity scale as a new, model-independent way to constrain cosmological parameters.
© The Author(s) 2024
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