  A cosmic no-hair theorem for all initially contracting, spatially
homogeneous, orthogonal Bianchi Cosmologies is derived - which shows that all
such Universes asymptote to a spatially flat, isotropic Universe with the
inclusion of a shear viscous stress. This establishes a new mechanism of
isotropisation in a contracting Universe, which does not take recourse to an
ekpyrosis-like mechanism using an effective ultra-stiff equation of state
fluid, that is, one in which the pressure is much greater than the energy
density.
