Improved WKB analysis of Slow-Roll Inflation

Details Improved WKB analysis of Slow-Roll Inflation Improved WKB analysis of Slow-Roll Inflation

2005-10-24

arxiv.org/abs/gr-qc/0510103v2

Phys.Rev. D72 (2005) 103516

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

REVTeX 4, 13 pages, no figures, final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.103516

We extend the WKB method for the computation of cosmological perturbations during inflation beyond leading order and provide the power spectra of scalar and tensor perturbations to second order in the slow-roll parameters. Our method does not require that the slow-roll parameters be constant. Although leading and next-to-leading results in the slow-roll parameters depend on the approximation technique used in the computation, we find that the inflationary theoretical predictions obtained may reach the accuracy required by planned observations. In two technical appendices, we compare our techniques and results with previous findings.

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