Method for analyzing the spatial distribution of galaxies on gigaparsec scales. I. initial principles

Abstract

Initial principles of a method of analysis of the luminous matter spatial distribution

The Line-of-Sight Analysis of Spatial Distribution of Galaxies in the COSMOS2015 Catalogue

“…The variance of fluctuations can be found in the plot of relative fluctuations, which we call the fluctuation pattern. We consider a fluctuation in each redshift bin δ(z, ∆z) as follows δ(z, ∆z) = (∆N obs − ∆N approx )/∆N approx , (7) where ∆N obs is the observed number of galaxies in the bin, and ∆N approx is the theoretically expected number of galaxies in the bin that is equal to the integral under the approximation function in the range (z, z + ∆z). The quantity ∆N approx has the physical sense of the fluctuation mean and depends on the quality of the LSM approximation as well as the approximation formula.…”

“…where V = V(z, ∆z) is the integration volume, ξ(|r 1 − r 2 |) is the spatial two-point correlation function of matter density, and the factor 1/(1 + z) takes into account the linear growth over time of the fluctuations of LSSU [7]. In fact, this formula corresponds to the complete correlation function of matter (visible and dark).…”

“…Here, we introduce a more stringent criterion to estimate the linear scales of large-scale structures than it was used in the papers by Nabokov and Baryshev [7], Shirokov et al [9]. As it is noted above, we calculate the structure borders z start and z finish as the middle of j-bins, where the fluctuation function δ i changes a sign.…”

“…The COSMOS2015 catalog is significantly improved compared with its previous version, used in the works by Nabokov and Baryshev [7,8], Shirokov et al [9]. Note that in recent works, several structures were detected in the COSMOS field, which also point to existence of large filamentary structures at z ∼ 0.73, called the COSMOS wall [10], structures at redshifts of 0.1 < z < 1.2 [11], voids at z ∼ 2.3 [12] and massive proto-supercluster at z ∼ 2.45 [13].…”

“…In this paper, we develop preceding approach used by Nabokov and Baryshev [7,8], Shirokov et al [9]. We develop a new method of analysis of the galaxy number counts by introducing two-level of fluctuation sequences.…”