Eigenvalues of the Stewart-Lyth equation for inflation with a blue spectrum

Abstract

By using the rather stringent nonlinear second order slow-roll approximation, we reconsider the nonlinear second order Abel equation of Stewart and Lyth. We determine a new blue eigenvalue spectrum. Some of the discrete values of the spectral index ns have consistent fits to the cumulative COBE data as well as to recent ground-base CMB experiments.

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