Inhomogeneous two-fluid cosmologies

A new class of expanding cosmological solutions is derived. The matter content of these models is a mixture of two interacting simple fluids: the first one, homogeneous and isotropic with equation of statep = (-1), the dynamics of which is given by the FRW equation and the second one an inhomogenous dust. The limiting case of two dusts corresponds to the Szekeres' universes of class II. A large subclass of the models evolve to a FRW phase for all physically meaningful values of the polytropic index and the curvature parameterk. A gauge condition, under which the metric is invariant, is shown to exist for k0. In particular, it explains why the parabolic model is a peculiar solution in the class found by Szekeres.On leave from Departamento de Fisica Teórica e Experimental Universidade Federal do Rio Grande do Norte, Natal, RN, Brazil.