We study the tensor modes of perturbations of a two-fluid model in general
relativity, where one of the fluids has the equation of state p = -rho/3 (a
variable cosmological constant, a cosmic string fluid, a texture) or p = -
rho (a cosmological constant), while the other is ordinary matter (radiatio
n, stiff matter, incoherent matter). In case (a), with the stringlike fluid
, the spatial section is compact but the scale factor evolves in a way simi
lar to that in an open Universe with positive pressure, providing alternati
ve solutions for the age and horizon problems. The study of gravitational w
aves is extended to all values of the effective curvature k(eff) = k - 8/3
pi G rho(0s), that is, positive, negative or zero, k being the curvature of
the spacelike section. In case (b), with a cosmological constant, we restr
ict ourselves to a flat spatial section. The behaviour of gravitational wav
es has, in each case, particular features, that can be reflected in the ani
sotropy spectrum of the cosmic microwave background radiation. We also make
some considerations on these exotic fluids as candidates for dark matter m
odels.