Beyond the Low Energy Approximation in Braneworld Cosmology

Abstract

We develop a four-dimensional effective theory for Randall-Sundrum models which allows us to calculate long wavelength adiabatic perturbations in a regime where the ${\rho }^2$ terms characteristic of braneworld cosmology are significant. This extends previous work employing the moduli space approximation. We extend the treatment of the system to include higher derivative corrections present in the context of braneworld cosmology. The developed formalism allows us to study perturbations beyond the general long wavelength, slow-velocity regime to which the usual moduli approximation is restricted. It enables us to extend the study to a wide range of braneworld cosmology models for which the extra terms play a significant role. As an example we discuss high energy inflation on the brane and analyze the key observational features that distinguish braneworlds from ordinary inflation by considering scalar and tensor perturbations as well as non-gaussianities. We also compare inflation and Cyclic models and study how they can be distinguished in terms of these corrections.

48 pages, no figure. Version published in the Physical Review D

References in corpus (4)

• Brane-World Gravity
• Scalar perturbations from brane-world inflation
• Inflation, quantum fluctuations and cosmological perturbations
• Conformal symmetry of brane world effective actions

Cited by in corpus (12)

• Brane-World Gravity
• Brane-world stars with solid crust and vacuum exterior
• Friedmann branes with variable tension
• Non-Gaussianity in braneworld and tachyon inflation
• The spectrum of gravitational waves in Randall-Sundrum braneworld cosmology
• Hamiltonian formulation of curvature squared action
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• Brane-world inflation: slow-roll corrections to the spectral index
• High-Energy theory for close Randall Sundrum branes
• Living on a dS brane: Effects of KK modes on inflation
• High-energy effective theory for matter on close Randall Sundrum branes
• High-energy effective theory for a bulk brane