Phase space analysis of a FRW cosmology in the Maxwell-Cattaneo approach

In this work, we present a phase space analysis of a spatially flat Friedmann-Robertson-Walker (FRW) model in which the dark matter fluid is modeled as an imperfect fluid having bulk viscosity. The bulk viscosity is governed by the Maxwell-Cattaneo approach. The rest of the components of the model-radiation and dark energy-are treated as perfect fluids. Imposing a complete cosmological dynamics and taking into account a recent constraint on the dark matter equation-of-state (EOS), we obtain bound on the bulk viscosity. We show that is possible to describe transitions from radiation-dominated to matter-dominated period, which then evolves to a stable accelerated solution of late time. At early time, before the radiation-dominated epoch, the model suggests the presence of an unstable stiff matter solution which is not possible to associate with a viable configuration in the early universe.