Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-11-27
Physics
High Energy Physics
High Energy Physics - Phenomenology
42 pages; some minor changes and additions
Scientific paper
In this paper we analyze scalar gravitational perturbations on a Robertson-Walker background in the presence of multiple scalar fields that take values on a (geometrically non-trivial) field manifold during slow-roll inflation. For this purpose modified and generalized slow-roll functions are introduced and their properties examined. These functions make it possible to estimate to what extent the gravitational potential decouples from the scalar field perturbations. The correlation function of the gravitational potential is calculated in an arbitrary state. We argue that using the vacuum state seems a reasonable assumption for those perturbations that can be observed in the CMBR. Various aspects are illustrated by examples with multiple scalar fields that take values on flat and curved manifolds.
Nibbelink Stefan Groot
van Tent J. W. B.
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