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

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

2007-03-22

arxiv.org/abs/astro-ph/0703587v1

Phys.Rev.D75:063518,2007

Astronomy and Astrophysics

Astrophysics

16 pages, Revtex, to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.75.063518

The phase-integral approximation devised by Fr\"oman and Fr\"oman, 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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