A POSSIBLE OBSERVATIONAL TEST OF THE GLOBAL INHOMOGENEITY

Lauer and Postman (1994) announced that the direction of the peculiar motion of Local Group with respect to the Abell clusters is not identi cal to the maximum of dipole anisotropy of cosmic microwave background radiation. This fact may be explained either standardly by a bulk str eam of these clusters or by a global inhomogeneity of the temperature of microwave background across the whole Hubble radius. The second exp lanation is in principle allowed, e.g., in inflationary scenarios. It is shown that the careful measurement of the quadrupole anisotropy of cosmic microwave background may be used as an observational test betwe en these two alternatives. Predictions of the expected values of the q uadrupole components of sizes similar or equal to (1 - 15)mu K are pre sented. Unfortunately, the COBE data are still ambiguous to do any det ailed comparison of these theoretical predictions with the observation al data.