Abstract
Presented in this letter is the exact solution of the problem of finding the potential of an inflaton scalar field for which adiabatic perturbations generated during a de Sitter (inflationary) stage in the early Universe have an exactly flat (or, the Harrison-Zeldovich) initial spectrum. This solution lies outside the scope of the slow-roll approximation and higher-order corrections to it. The potential found depends on two arbitrary physical constants, one of which determines the amplitude of the perturbations. For small (zero) values of the other constant, a long (infinite) inflationary stage with slow rolling of the inflaton field exists.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 82, No. 4, 2005, pp. 187–191.
Original English Text Copyright © 2005 by Starobinsky.
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Starobinsky, A.A. Inflaton field potential producing an exactly flat spectrum of adiabatic perturbations. Jetp Lett. 82, 169–173 (2005). https://doi.org/10.1134/1.2121807
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DOI: https://doi.org/10.1134/1.2121807