Eigenvalues of the third order slow-roll approximation of inflation

Physics

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

Going beyond the second order slow-roll approximation of inflation, we
consider next order corrections to the nonlinear Abel equation of
Stewart and Lyth. By a truncated series expansion we determine new blue
eigenvalues ns>1 for the spectral index approaching the
scale-invariant Harrison-Zel’dovich spectrum as a limiting point.

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