Higher Order Slow-Roll Predictions for Inflation

Details Higher Order Slow-Roll Predictions for Inflation Higher Order Slow-Roll Predictions for Inflation

2005-06-07

arxiv.org/abs/gr-qc/0506043v2

Phys.Lett.B625:1-6,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Replaced to match published version

Scientific paper

10.1016/j.physletb.2005.08.056

We study the WKB approximation beyond leading order for cosmological perturbations during inflation. To first order in the slow-roll parameters, we show that an improved WKB approximation leads to analytical results agreeing to within 0.1% with the standard slow-roll results. Moreover, the leading WKB approximation to second order in the slow-roll parameters leads to analytical predictions in qualitative agreement with those obtained by the Green's function method.

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