  An asymptotic stability analysis of spatially homogeneous models of Bianchi
type containing tilted perfect fluids is performed. Using the known attractors
for the non-tilted Bianchi type universes, we check whether they are stable
against perturbations with respect to tilted perfect fluids. We perform the
analysis for all Bianchi class B models and the Bianchi type VI_0 model. In
particular, we find that none of the non-tilted equilibrium points are stable
against tilted perfect fluids stiffer than radiation. We also indicate parts of
the phase space where new tilted exact solutions might be found.

General Relativity and Quantum Cosmology;Astrophysics