Features of the Spatial Distribution of Galaxy Clusters

A statistical analysis of the anisotropic quasi-periodic features of the spatial distribution of galaxy clusters obtained from spectroscopic and photometric redshifts in the interval $$0.1\leq z\leq 0.47$$ has been carried out. Based on data from the the SDSS III catalog, we show that the preferential direction previously detected in the northern hemisphere (a narrow cone of directions: $$\alpha_{0}=170^{\circ}\pm 5^{\circ}$$ , $$\delta_{0}=29^{\circ}\pm 5^{\circ}$$ ), along which the one-dimensional distribution of projections of the Cartesian coordinates of clusters contains a significant ( $${\gtrsim}(4{-}5)\sigma$$ ) quasi-periodic component, can also be found using photometric redshifts achieving a certain accuracy ( $$\Delta z\lesssim 0.013$$ ). Based on data from the photometric DES $$\times$$ unWISE catalog, we have analyzed the spatial distribution of clusters in the southern hemisphere, where a cone of close directions was also detected ( $$\alpha_{0}=346^{\circ}\pm 5^{\circ}$$ , $$\delta_{0}=-29^{\circ}\pm 5^{\circ}$$ ), which are approximately an extension of the directions revealed in the northern hemisphere. The power spectra of the one-dimensional distributions along these directions contain significant ( $${\gtrsim}(4{-}5)\sigma$$ ) features in the same interval of wave numbers $$0.04\lesssim k\lesssim 0.06\;h$$ Mpc $${}^{-1}$$ .