A statistical analysis of spatial-temporal distributions of Luminous Red Galaxies (LRGs) from the SDSS catalogue within the interval 0.16 ≤ z ≤ 0.47 is carried out. The radial distribution of LRGs incorporates a few periodical components relatively to η, dimensionless line-of-sight comoving distance. The most significant periodicity Δ η = 0.034 ± 0.002 at significance levels >∼ 4σ is consistent with the period obtained previously for absorption-line systems. This component corresponds to a spatial characteristic scale (102 ± 7) h⁻¹ Mpc or (alternatively) a temporal interval (330 ± 23) h⁻¹ Myr for the ΛCDM cosmological model. This value is in agreement also with the characteristic scale of the baryon acoustic oscillations (BAO). The analysis of periodicities within different sectors of the sky has shown that the main periodical components manifest themselves in different ways for different directions. It may evidence for the hypothesis of presence of an order in the large-scale distribution of matter in the early Universe.

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