Accurate determination of inflationary perturbations

Details Accurate determination of inflationary perturbations Accurate determination of inflationary perturbations

1996-07-18

arxiv.org/abs/astro-ph/9607096v1

Phys.Rev. D54 (1996) 7191-7198

Astronomy and Astrophysics

Astrophysics

9 pages LaTeX file with 3 figures incorporated, using RevTeX and epsf

Scientific paper

10.1103/PhysRevD.54.7191

We use a numerical code for accurate computation of the amplitude of linear density perturbations and gravitational waves generated by single-field inflation models to study the accuracy of existing analytic results based on the slow-roll approximation. We use our code to calculate the coefficient of an expansion about the exact analytic result for power-law inflation; this generates a fitting function which can be applied to all inflationary models to obtain extremely accurate results. In the appropriate limit our results confirm the Stewart--Lyth analytic second-order calculation, and we find that their results are very accurate for inflationary models favoured by current observational constraints.

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