Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-07-26
Class.Quant.Grav.19:613-640,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, 4 figures. v2: Treatment of transition region improved and section on isocurvature perturbations added. Other minor
Scientific paper
10.1088/0264-9381/19/4/302
We calculate the scalar gravitational and matter perturbations in the context of slow-roll inflation with multiple scalar fields, that take values on a (curved) manifold, to first order in slow roll. For that purpose a basis for these perturbations determined by the background dynamics is introduced and multiple-field slow-roll functions are defined. To obtain analytic solutions to first order, the scalar perturbation modes have to be treated in three different regimes. Matching is performed by analytically identifying leading order asymptotic expansions in different regions. Possible sources for multiple-field effects in the gravitational potential are the particular solution caused by the coupling to the field perturbation perpendicular to the field velocity, and the rotation of the basis. The former can contribute even to leading order if the corresponding multiple-field slow-roll function is sizable during the last 60 e-folds. Making some simplifying assumptions, the evolution of adiabatic and isocurvature perturbations after inflation is discussed. The analytical results are illustrated and checked numerically with the example of a quadratic potential.
Nibbelink Stefan Groot
van Tent J. W. B.
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