Degeneracy of consistency equations in braneworld inflation

Abstract

In a Randall-Sundrum type II inflationary scenario we compute perturbation amplitudes and spectral indices up to next-to-lowest order in the slow-roll parameters, starting from the well-known lowest-order result for a de Sitter brane. Using two different prescriptions for the tensor amplitude, we show that the braneworld consistency equations are not degenerate with respect to the standard relations and we explore their observational consequences. It is then shown that, while the degeneracy between high- and low-energy regimes can come from suitable values of the cosmological observables, exact functional matching between consistency expressions is plausibly discarded. This result is then extended to the Gauss-Bonnet case.

16 pages, 3 figures. v3: major revision. Changed title, updated references, rearranged material, new prescription for the tensor spectrum, new figures, extended and more robust conclusions

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Cited by in corpus (12)

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• Noncommutative models in patch cosmology
• Scalar perturbations from brane-world inflation
• Inflation parameters from Gauss-Bonnet braneworld
• Slow-roll corrections to inflaton fluctuations on a brane
• Consistency relations and degeneracies in (non)commutative patch inflation
• Primordial perturbations from slow-roll inflation on a brane
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• Gauss-Bonnet braneworld and WMAP three year results
• Cosmological constraints from Gauss-Bonnet braneworld with large-field potentials
• From WMAP to Planck: Exact reconstruction of 4- and 5-dimensional inflationary potential from high precision CMB measurements