Late time behavior of cosmological perturbations in a single brane model

Abstract

We present solutions for the late time evolution of cosmological tensor and scalar perturbations in a single-Randall-Sundrum brane world model. Assuming that the bulk is anti-de Sitter spacetime, the solutions for cosmological perturbations are derived by summing mode functions in Poincaré coordinate. The junction conditions imposed at the moving brane are solved numerically. The recovery of 4-dimensional Einstein gravity at late times is shown by solving the 5-dimensional perturbations throughout the infinite bulk. We also comment on several possibilities for having deviations from 4-dimensional Einstein gravity.

24 pages, 11 figures, discussions concerning a numerical accuracy added, final version to appear in JCAP

References in corpus (5)

• Brane-World Gravity
• Gauge invariant cosmological perturbation theory for braneworlds
• AdS/CFT correspondence in a Friedmann-Lemaitre-Robertson-Walker brane
• Stochastic Gravitational Wave Background in Brane World Cosmology
• Brane-world cosmological perturbations

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