Angular sizes in spherically symmetric Stephani cosmological models

Spherically symmetric Stephani cosmological models are considered in the context of angular sizes of compact as well as expanding objects percepted by an observer placed at the symmetry centre. We assume that thematter filling up Stephani universe satisfies barotropic equation of state at the symmetry centre p(r approximate to 0, t)=alpha rho(t). Angular sizes of compact objects are examined as a function of parameter a, of energy density parameter Omega(alpha 0) and of the redshift z. Small angle anisotropies of microwave background radiation connected with typical density fluctuation of mass corresponding to a galaxy are also calculated in the model. Finally the horizon problem is discussed in detail.