Evolution of Cosmological Perturbations in the Brane World
arXiv:hep-th/0005239 · doi:10.1103/PhysRevD.62.123502
Abstract
The evolution of the cosmological perturbations is studied in the context of the Randall-Sundrum brane world scenario, in which our universe is realized on a three-brane in the five dimensional Anti-de Sitter(AdS) spacetime. We develop a formalism to solve the coupled dynamics of the cosmological perturbations in the brane world and the gravitational wave in the AdS bulk. Using our formalism, the late time evolution of the cosmological scalar perturbations at any scales larger than the AdS curvature scale is shown to be identical with the one obtained in the conventional 4D cosmology, provided the effect of heavy graviton modes may be neglected. Here the late time means the epoch when the Hubble horizon in the 4D brane world is sufficiently larger than the AdS curvature scale . If the inflation occurs sufficiently lower than , the scalar temperature anisotropies in the Cosmic Microwave Background at large scales can be calculated using the constancy of the Bardeen parameter as is done in the 4D cosmology. The assumption of the result is that the effect of the massive graviton with mass in the brane world is negligible, where is the scale factor of the brane world. We also discuss the effect of these massive gravitons on the evolution of the perturbations.
28 pages, 4 figures, typos in published version are corrected
References in corpus (19)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Einstein Equations on the 3-Brane World
- Brane cosmological evolution in a bulk with cosmological constant
- Gravity in the Randall-Sundrum Brane World
- Chaotic inflation on the brane
- Bent Domain Walls as Braneworlds
- Dynamics of Anti-de Sitter Domain Walls
- Cosmological dynamics on the brane
- Linearized Gravity in Brane Backgrounds
- Dynamic Dilatonic Domain Walls
- Brane World Cosmology - Gauge-Invariant Formalism for Perturbation
- Brane New World
- Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World
- Global structure of exact cosmological solutions in the brane world
- Inflation in the five-dimensional universe with an orbifold extra dimension
- Brane-world solutions, standard cosmology, and dark radiation
- Inflation and Gauge Hierarchy in Randall-Sundrum Compactification
- Gravity in the brane-world for two-branes model with stabilized modulus
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