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We investigate possible astronomical manifestations of space-time anisotropy.The homogeneous vacuum Kasner solution was chosen as a reference anisotropiccosmological model because there are no effects caused by inhomogeneity in thissimple model with a constant degree of anisotropy. This anisotropy cannotbecome weak. The study of its geodesic structure made it possible to clarifythe properties of this space-time. It showed that the degree of manifestationof anisotropy varies significantly depending on the travel time of the lightfrom the observed object. For nearby objects, for which it does not exceed halfthe age of the universe, the manifestations of anisotropy are very small.Distant objects show more pronounced manifestations, for example, in thedistribution of objects over the sky and over photometric distances. Theseeffects for each of the individual objects decrease with time, but in general,the manifestations of anisotropy in the Kasner space-time remain constant dueto the fact that new sources emerging from beyond the cosmological horizon.Weanalyse observable signatures of the Kasner-type anisotropy and compare it toobservations. These effects were not found in astronomical observations,including the study of the CMB. We can assume that the Universe has always beenisotropic or almost isotropic since the recombination era. This does notexclude the possibility of its significant anisotropy at the moment of the BigBang followed by rapid isotropization during the inflationary epoch.

Is the Universe anisotropic right now? Comparing the real Universe with the Kasner's space-time