Can the angular scale of cosmic homogeneity be used as a cosmological test?
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| Format: | Preprint |
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2023
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| _version_ | 1866911196202926080 |
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| author | Shao, Xiaoyun Gonçalves, Rodrigo S. Bengaly, Carlos A. P. Andrade, Uendert Carvalho, Gabriela C. Alcaniz, Jailson |
| author_facet | Shao, Xiaoyun Gonçalves, Rodrigo S. Bengaly, Carlos A. P. Andrade, Uendert Carvalho, Gabriela C. Alcaniz, Jailson |
| contents | 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 (${\cal{R}}_H$) and angular ($θ_H$) homogeneity scales with redshift, assuming a spatially flat, $Λ$-Cold Dark Matter %($Λ$CDM) universe and linear cosmological perturbation theory. We confirm previous results concerning the non-monotonicity of ${\cal{R}}_H$ with the matter density parameter $Ω_{m0}$ 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 $Ω_{m0}$ and $H_0$ but is quite sensitive to $H_0$, especially at higher redshifts. These results, therefore, raise the possibility of using $θ_H$ as a new, model-independent way to constrain cosmological parameters. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_07263 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Can the angular scale of cosmic homogeneity be used as a cosmological test? Shao, Xiaoyun Gonçalves, Rodrigo S. Bengaly, Carlos A. P. Andrade, Uendert Carvalho, Gabriela C. Alcaniz, Jailson Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology 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 (${\cal{R}}_H$) and angular ($θ_H$) homogeneity scales with redshift, assuming a spatially flat, $Λ$-Cold Dark Matter %($Λ$CDM) universe and linear cosmological perturbation theory. We confirm previous results concerning the non-monotonicity of ${\cal{R}}_H$ with the matter density parameter $Ω_{m0}$ 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 $Ω_{m0}$ and $H_0$ but is quite sensitive to $H_0$, especially at higher redshifts. These results, therefore, raise the possibility of using $θ_H$ as a new, model-independent way to constrain cosmological parameters. |
| title | Can the angular scale of cosmic homogeneity be used as a cosmological test? |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2309.07263 |