Inflationary slow-roll formalism and perturbations in the Randall-Sundrum Type II braneworld

Abstract

We formalize the Hubble slow-roll formalism for inflationary dynamics in Randall-Sundrum Type II braneworld cosmologies, defining Hubble slow-roll parameters which can be used along with the Hamilton-Jacobi formalism. Focussing on the high-energy limit, we use these to calculate the exact power spectrum for power-law inflation, and then perturb around this solution to derive the higher-order expression for the density perturbations (sometimes called the Stewart-Lyth correction) of slow-roll braneworld models. Finally we apply our result to specific examples of potentials to calculate the correction to the amplitude of the power spectrum, and compare it with the standard cosmology. We find that the amplitude is not changed significantly by the higher-order correction.

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• Non-Gaussianity in braneworld and tachyon inflation
• Slow-roll corrections to inflaton fluctuations on a brane
• Quantization of scalar perturbations in brane-world inflation
• Consistency relations and degeneracies in (non)commutative patch inflation
• Beyond the Low Energy Approximation in Braneworld Cosmology
• Degeneracy of consistency equations in braneworld inflation
• Primordial perturbations from slow-roll inflation on a brane
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• Second-order corrections to slow-roll inflation in the brane cosmology
• The consistency relation in braneworld inflation
• Brane-world inflation: slow-roll corrections to the spectral index
• Gauss-Bonnet braneworld and WMAP three year results
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• Tachyonic Universes in Patch Cosmologies with $\Omega >1$
• From WMAP to Planck: Exact reconstruction of 4- and 5-dimensional inflationary potential from high precision CMB measurements