The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation

Details The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation

2001-10-15

arxiv.org/abs/astro-ph/0110322v1

Phys.Rev. D65 (2002) 103508

Astronomy and Astrophysics

Astrophysics

26 pages, 6 figures

Scientific paper

10.1103/PhysRevD.65.103508

The standard calculation of the spectrum of density perturbations produced during inflation assumes (i) |n-1| << 1 and (ii) |dn/dlnk| << |n-1|. Slow-roll predicts and observations require (i), but neither slow-roll nor observations require (ii). In this paper I derive formulae for the spectrum, spectral index, and running of the spectral index, assuming only (i) and not (ii). I give a large class of observationally viable examples in which these general slow-roll formulae are accurate but the standard slow-roll formulae for the spectral index and running are incorrect.

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