The coupling of a string-like fluid with ordinary matter and gravity may le
ad to a closed Universe with the dynamic of an open one. This can provide a
n alternative solution for the age and horizon problems. A study of density
perturbations of the string-like fluid indicates the existence of instabil
ities in the small-wavelength limit when a hydrodynamic approach is employe
d. Here, we extend this study to gravitational waves, where the hydrodynami
cal approach plays a less important role, and we argue that traces of the e
xistence of this fluid must be present in the anisotropies of the cosmic ba
ckground radiation.