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\({}^{-1}\).