  A general treatment of vorticity-free, perfect fluid perturbations of
Kantowski-Sachs models with a positive cosmological constant are considered
within the framework of the 1+1+2 covariant decomposition of spacetime. The
dynamics is encompassed in six evolution equations for six harmonic
coefficients, describing gravito-magnetic, kinematic and matter perturbations,
while a set of algebraic expressions determine the rest of the variables. The
six equations further decouple into a set of four equations sourced by the
perfect fluid, representing forced oscillations and two uncoupled damped
oscillator equations.
  The two gravitational degrees of freedom are represented by pairs of
gravito-magnetic perturbations. In contrast with the Friedmann case one of them
is coupled to the matter density perturbations, becoming decoupled only in the
geometrical optics limit. In this approximation, the even and odd tensorial
perturbations of the Weyl tensor evolve as gravitational waves on the
anisotropic Kantowski-Sachs background, while the modes describing the shear
and the matter density gradient are out of phase dephased by $\pi /2$ and share
the same speed of sound.
