Evolution of curvature perturbations in a brane-world inflation at high-energies

We study the evolution of scalar curvature perturbations in a brane-world 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. At high energies, the inflaton perturbations are strongly coupled to the bulk metric perurbations even on subhorizon scales, leading to the suppression of the amplitude of the comoving curvature perturbation at a horizon crossing with a particular choice of initial conditions. This indicates the need to qunatise the coupled brane-bulk system in a consistent way in order to define an initial vacuum state and calculate the spectrum of the scalar perturbations in a brane-world inflation