Primordial perturbations from slow-roll inflation on a brane
arXiv:hep-th/0701241 · doi:10.1088/1475-7516/2007/04/001
Abstract
In this paper we quantise scalar perturbations in a Randall-Sundrum-type model of inflation where the inflaton field is confined to a single brane embedded in five-dimensional anti-de Sitter space-time. In the high energy regime, small-scale inflaton fluctuations are strongly coupled to metric perturbations in the bulk and gravitational back-reaction has a dramatic effect on the behaviour of inflaton perturbations on sub-horizon scales. This is in contrast to the standard four-dimensional result where gravitational back-reaction can be neglected on small scales. Nevertheless, this does not give rise to significant particle production, and the correction to the power spectrum of the curvature perturbations on super-horizon scales is shown to be suppressed by a slow-roll parameter. We calculate the complete first order slow-roll corrections to the spectrum of primordial curvature perturbations.
23 pages, 10 figures
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- Brane-world inflation: slow-roll corrections to the spectral index
- Gravitational waves in the black string braneworld
- Dissipation and nonlocality in a general expanding braneworld universe