Second-order reconstruction of inflationary dynamics compatible with recent COBE data

Physics

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Scientific paper

A new method is applied to reconstruct the inflationary potential from a more phenomenological point of view. By using the more stringent nonlinear second order slow-roll approximation, we found, besides the power law inflation forns < 1, an exact solution for which the spectral index is necessarily determined as ns ~= 1.5. Part of these continuous and discrete spectra of the index fits within the 1 σ range of recent COBE and CAT data. In the conformal frame, the inflaton can be absorbed in a specific nonlinear curvature scalar Lagrangian parametrized by ns which is related to effective string models.

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