The gravitational waves (GW) background generated in a double inflationary model, with two scalar fields mutually interacting through gravity only, and its relative contribution T/S to large-angle temperature fluctuations of the relic microwave background are investigated in detail. The relation between T/S and the slope of the GW spectrum nT is shown to be a discriminative test between a slow-roll inflation driven by one scalar field and more complicated models. It is found that the GW amplitude is not exactly zero in minima of spectral oscillations, this property being an observational, in principle, manifestation of GW being in a squeezed vacuum state during inflation. PACS Numbers: 04.62.+v, 98.80.Cq 0 Cosmological models in which the early Universe passed through two successive de Sitter (inflationary) phases of quasi-exponential expansion (- and other papers) are usually called double inflationary ones. The initial spectrum of adiabatic perturbations in these models is not approximately flat (i.e., n ≈ 1, or Harrison
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