The Excess Density of Field Galaxies near z ~ 0.56 around the Gamma-Ray Burst GRB021004 Position

We test for reliability any signatures of field galaxies clustering in the GRB021004 line of sight. The first signature is the GRB021004 field photometric redshifts distribution based on the 6-m telescope of the Special Astrophysical Observatory of the Russian Academy of Sciences observations with a peak near z ~ 0.56 estimated from multicolor photometry in the GRB direction. The second signature is the Mg II λλ2796, 2803 Å absorption doublet at z ≈ 0.56 in VLT/UVES spectra obtained for the GRB021004 afterglow. The third signature is the galaxy clustering in a larger (of about 3° × 3°) area around GRB021004 with an effective peak near z ~ 0.56 for both the spectral and photometric redshifts from a few catalogs of clusters based on the Sloan Digital Sky Survey (SDSS) and Baryon Oscillation Spectroscopic Survey (BOSS) as a part of SDSS-III. From catalog data the size of the whole inhomogeneity in distribution of the galaxy cluster with the peak near z ≈ 0.56 was also estimated as about 6°–8° or 140–190 Mpc. A possibility of inhomogeneity (a galaxy cluster) near the GRB021004 direction can be also confirmed by an inhomogeneity in cosmic microwave background related with the Sunyaev–Zeldovich effect.