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Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method

Clara Rojas·Victor M. Villalba
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Abstract

The phase-integral approximation devised by Fröman and Fröman, is used for computing cosmological perturbations in the power-law inflationary model. The phase-integral formulas for the scalar and tensor power spectra are explicitly obtained up to ninth-order of the phase-integral approximation. We show that, the phase-integral approximation exactly reproduces the shape of the power spectra for scalar and tensor perturbations as well as the spectral indices. We compare the accuracy of the phase-integral approximation with the results for the power spectrum obtained with the slow-roll and uniform approximation methods.

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Clara Rojas, Victor M. Villalba. 2007-03-22. Computation of inflationary cosmological perturbations in the power-law inflationary model using the phase-integral method. https://doi.org/10.1103/physrevd.75.063518

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