  A possible existence of cosmologically large domains of antimatter or
astronomical ``anti-objects'' is discussed. A brief review of different
scenarios of baryogenesis predicting a noticeable amount of antimatter is
given. Though both theory and observations indicate that the universe is most
possibly uniformly charge asymmetric without any noticeable amount of
antimatter, several natural scenarios are possible that allow for
cosmologically (astronomically) interesting objects in close vicinity to us.
The latter may be discovered by observation of cosmic ray antinuclei.
