On the gravitational waves on the background of anomaly-induced inflation

In the very early Universe matter can be described as a conformal invariant ultra-relativistic perfect fluid, which does not contribute, on classical level, to the evolution of the isotropic and homogeneous metric. However, i n this situation the vacuum effects of quantum matter fields become importa nt. The vacuum effective action depends, essentially, on the particle conte nt of the underlying gauge model. If we suppose that there is some desert i n the particle spectrum, just below the Planck mass, then the effect of con formal trace anomaly is dominating at the corresponding energies. With some additional constraints on the gauge model (which favor extended or supersy mmetric versions of the Standard Model rather than the minimal one), one ar rives at the stable inflation. In this article we report about the calculat ion of the gravitational waves in this model. The result for the perturbati on spectrum is close to the one for the conventional inflaton model, and is in agreement with the existing Cobe data. (C) 2001 Elsevier Science B.V. A ll rights reserved.