Phys. Rev. D 65, 103508 (2002) [17 pages]Spectrum of density perturbations produced during inflation to leading order in a general slow-roll approximationReceived 15 October 2001; published 29 April 2002 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 formulas for the spectrum P, spectral index n, and running of the spectral index dn/dlnk, assuming only (i) and not (ii). I give a large class of observationally viable examples in which these general slow-roll formulas are accurate but the standard slow-roll formulas for the spectral index and running are incorrect. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.103508
DOI:
10.1103/PhysRevD.65.103508
PACS:
98.80.Cq
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