The primordial Universe is treated in terms of a nonperfect fluid conf
iguration endowed with an anisotropic expansion. The deGennes-Landau m
echanism of phase transition acts as a very efficient process to provi
de the elimination of the previous anisotropy and to set the universe
in the current isotropic FRW stage. The entropy produced, as a consequ
ence of the phase transition, depends on the strength of the previous
shear. We suggest the hypothesis that the germinal perturbations that
will grow into the observed system of galaxies occurring in the anisot
ropic era. We present a model to deal with this idea that provides a p
ower spectrum of fluctuations of the form delta(k)(2) similar to 1/(al
pha + bk(2)). We compare this prediction of our model to the current k
nowledge on the galaxy formation process.