Primordial perturbations from slow-roll inflation on a brane
Jan, 2007
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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.- 04.50.+h
- 11.10.St
- 11.10.Kk
- inflation
- membrane model
- perturbation: primordial
- perturbation: scalar
- slow-roll approximation
- Randall-Sundrum model
- dimension: 5
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