Inflaton and metric fluctuations in the early universe from a 5D vacuum state

Abstract

In this letter we complete a previously introduced formalism to study the gauge-invariant metric fluctuations from a noncompact Kaluza-Klein theory of gravity, to study the evolution of the early universe. The evolution of both, metric and inflaton field fluctuations are reciprocally related. We obtain that <δ/b depends on the coupling of with δφ and the spectral index of its spectrum is: 0.9483 < n1 < 1$.

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