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Study of scalar and tensor power spectra in the generalized Starobinsky inflationary model using semiclassical methods

Abstract:

In this work we solved the equation of scalar and tensor perturbations for the generalized Starobinsky inflationary model using the improved uniform approximation method and the phase-integral method up to third-order in deviation. We compare our results with the numerical integration. We have obtained that both semiclassical methods reproduce the scalar power spectra P<inf>S,T</inf>, the scalar spectral index n<inf>S</inf>, and the tensor-to-scalar ratio r. Also we present our results in the (n<inf>S</inf>,r) plane.