High-Energy Effects on the Spectra of Cosmological Perturbations in Braneworld Cosmology

Physics

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Scientific paper

We study the evolution of scalar curvature perturbations in a braneworld inflation model in a 5D Anti-de Sitter spacetime. The inflaton perturbations are confined to a 4D brane but they are coupled to the 5D bulk metric perturbations. We numerically solve full coupled equations for the inflaton perturbations and the 5D metric perturbations using Hawkins-Lidsey inflationary model. At an initial time, we assume that the bulk is unperturbed, while the inflaton field is perturbed. We find that the inflaton perturbations at high energies are strongly coupled to the bulk metric perturbations even on sub-horizon scales, leading to the suppression of the amplitude of the comoving curvature perturbations at a horizon crossing. This indicates that the linear perturbations of the inflaton field does not obey the usual 4D (linearised) Klein-Gordon equation due to the coupling to 5D gravitational field on small scales and it is required to quantise the coupled brane-bulk system in a consistent way in order to calculate the spectrum of the scalar perturbations in a braneworld inflation.

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