Inflation on a single brane - exact solutions
arXiv:gr-qc/0011060 · doi:10.1103/PhysRevD.63.041301
Abstract
Algorithms are developed for generating a class of exact braneworld cosmologies, where a self-interacting scalar field is confined to a positive-tension brane embedded in a bulk containing a negative cosmological constant. It is assumed that the five-dimensional Planck scale exceeds the brane tension but is smaller than the four-dimensional Planck mass. It is shown that the field equations can be expressed as a first-order system. A number of solutions to the equations of motion are found. The potential resulting in the perfect fluid model is identified.
6 pages, Revtex, In Press Phys. Rev. D
References in corpus (17)
- Modulus Stabilization with Bulk Fields
- The Einstein Equations on the 3-Brane World
- Brane cosmological evolution in a bulk with cosmological constant
- Cosmology of Brane Models with Radion Stabilization
- Chaotic inflation on the brane
- Superstring Cosmology
- Brane-world cosmology
- Brane New World
- Global structure of exact cosmological solutions in the brane world
- Cosmological Expansion in the Randall-Sundrum Brane World Scenario
- Cosmological 3-Brane Solutions
- Brane-world solutions, standard cosmology, and dark radiation
- Dilaton-gravity on the brane
- A Three three-brane Universe:New Phenomenology for the New Millennium?
- Single-Brane Cosmological Solutions with a Stable Compact Extra Dimension
- Inflation in Models with Large Extra Dimensions Driven by a Bulk Scalar Field
- Cosmology of Randall-Sundrum models with an extra dimension stabilized by balancing bulk matter
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