Time dependence of cosmological and inflationary parameters in slow-roll inflation

Details Time dependence of cosmological and inflationary parameters in slow-roll inflation Time dependence of cosmological and inflationary parameters in slow-roll inflation

2008-12-05

arxiv.org/abs/0812.1079v2

Astronomy and Astrophysics

Astrophysics

12 pages, 6 figures

Scientific paper

The dependence of cosmological and inflationary parameters on time during the last 60 e-folds in inflation is investigated using a slow-roll inflation model. The time dependence of the inflaton field is calculated for the case of chaotic inflation by a numerical method rather than the familiar approximations. It is found that the Hubble parameter and the spectral index decrease in the last 60 e-folds. The dependence of the power spectrum of the curvature perturbation on the size perturbation k is calculated numerically, and it is shown that the overall constant value of the power spectrum thus determined differs from that given by the familiar method. However, the k-dependent spectra of the numerical calculation, the Bessel function approximation, and the familiar Taylor expansion are all found to be consistent.

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