Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations

Details Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations

2005-07-08

arxiv.org/abs/astro-ph/0507193v1

JETP Lett.82:169-173,2005; Pisma Zh.Eksp.Teor.Fiz.82:187-191,2005

Astronomy and Astrophysics

Astrophysics

8 pages, 1 eps.fig. JETP Lett. (2005), in press

Scientific paper

10.1134/1.2121807

Presented is the exact solution of the problem of finding a potential of an inflaton scalar field for which adiabatic perturbations generated during a de Sitter (inflationary) stage in the early Universe have the 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 those determines an amplitude of 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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