Vacuum density fluctuations in extended chaotic inflation

Mathematics – Logic

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

An inflaton (scalar field) with the potential cσ2n is coupled to gravity within the Jordan-Brans-Dicke theory. The corresponding inflationary model (that is, a flat Friedmann-Robertson-Walker solution with a slowly varying inflaton) is constructed for all values of the coupling β of the inflaton to the dilaton (Brans-Dicke scalar field). The linearized perturbations of the metric, the dilaton, and the inflaton are then quantized within a gauge-invariant formalism. The power spectrum of the vacuum density fluctuations is calculated as a function of c,n, and β. It is the juxtaposition of two powers of the wave number corresponding, respectively, to the contribution of the inflaton and the dilaton. We find the value of β for which the dilaton contribution dominates on observable cosmological scales.

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