@Article{AvilaBerNunCarNov:2022:HoScGr,
               author = "Avila, Felipe and Bernui, Armando and Nunes, Rafael da Costa and 
                         Carvalho, Edilson de and Novaes, Camila Paiva",
          affiliation = "{Observat{\'o}rio Nacional (ON)} and {Observat{\'o}rio Nacional 
                         (ON)} and {Instituto Nacional de Pesquisas Espaciais (INPE)} and 
                         {Universidade do Estado do Amazonas (UEA)} and {Instituto Nacional 
                         de Pesquisas Espaciais (INPE)}",
                title = "The homogeneity scale and the growth rate of cosmic structures",
              journal = "Monthly Notices of the Royal Astronomical Society",
                 year = "2022",
               volume = "509",
               number = "2",
                pages = "2994--3003",
                month = "Jan.",
             keywords = "Cosmology: Large-Scale Structure of the Universe, Cosmology: 
                         Observations.",
             abstract = "We propose a novel approach to obtain the growth rate of cosmic 
                         structures, f(z), from the evolution of the cosmic homogeneity 
                         scale, RH(z). Our methodology needs two ingredients in a specific 
                         functional form: RH(z) data and the matter two-point correlation 
                         function today, i.e. \ζ(r, z = 0). We use a Gaussian Process 
                         approach to reconstruct the function RH. In the absence of 
                         suitable observational information of the matter correlation 
                         function in the local Universe, z {\^a} 0, we assume a fiducial 
                         cosmology to obtain \ζ(r, z = 0). For this reason, our final 
                         result turns out to be a consistency test of the cosmological 
                         model assumed. Our results show a good agreement between: (i) the 
                         growth rate fRH (z) obtained through our approach, (ii) the 
                         f\ΛCDM(z) expected in the fiducial model, and (iii) the 
                         best-fitting f(z) from data compiled in the literature. Moreover, 
                         using this data compilation, we perform a Gaussian Process to 
                         reconstruct the growth rate function fdata(z) and compare it with 
                         the function fRH (z) finding a concordance of < 2 \σ, a good 
                         result considering the few data available for both reconstruction 
                         processes. With more accurate RH(z) data, from forthcoming 
                         surveys, the homogeneity scale function might be better determined 
                         and would have the potential to discriminate between \ΛCDM 
                         and alternative scenarios as a new cosmological observable.",
                  doi = "10.1093/mnras/stab3122",
                  url = "http://dx.doi.org/10.1093/mnras/stab3122",
                 issn = "0035-8711 and 1365-2966",
             language = "en",
           targetfile = "Avila_homogeneity_2022.pdf",
        urlaccessdate = "25 jun. 2024"
}