Braneworld cosmological solutions and their stability
arXiv:gr-qc/0408093 · doi:10.1088/0264-9381/22/12/008
Abstract
We consider cosmological solutions and their stability with respect to homogeneous and isotropic perturbations in the braneworld model with the scalar-curvature term in the action for the brane. Part of the results are similar to those obtained by Campos and Sopuerta for the Randall-Sundrum braneworld model. Specifically, the expanding de Sitter solution is an attractor, while the expanding Friedmann solution is a repeller. In the braneworld theory with the scalar-curvature term in the action for the brane, static solutions with matter satisfying the strong energy condition exist not only with closed spatial geometry but also with open and flat ones even in the case where the dark-radiation contribution is absent. In a certain range of parameters, static solutions are stable with respect to homogeneous and isotropic perturbations.
arXiv comment23 pages, 2 figures, sections 3 and 4 revised, matches the version to be published
References in corpus (27)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- 4D Gravity on a Brane in 5D Minkowski Space
- Heterotic and Type I String Dynamics from Eleven Dimensions
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- The Einstein Equations on the 3-Brane World
- Accelerated Universe from Gravity Leaking to Extra Dimensions
- Brane cosmological evolution in a bulk with cosmological constant
- Cosmology on a Brane in Minkowski Bulk
- Braneworld models of dark energy
- Gravity on a Brane in Infinite-Volume Extra Space
- Chaotic inflation on the brane
- Cosmological dynamics on the brane
- Brane New World
- Brane Cosmologies without Orbifolds
- Evolution of Cosmological Models in the Brane-world Scenario
- Homogeneous cosmologies with cosmological constant
- Bulk effects in the cosmological dynamics of brane-world scenarios
- Brane worlds
- Brane-world generalizations of the Einstein static universe
- Induced Gravity on RS Branes
- Did the Universe loiter at high redshifts ?
- New Vistas in Braneworld Cosmology
- Linearized Gravity about a Brane
- Closed System of Equations on a Brane
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- Bouncing cosmological solutions due to the self-gravitational corrections and their stability
- Interacting Holographic Dark Energy model in Brans-Dicke cosmology and coincidence problem
- On the validity of the 5-dimensional Birkhoff theorem: The tale of an exceptional case
- Bouncing cosmological solutions and their stability
- Cosmological Dynamics of Interacting Logarithmic Entropy Corrected Holographic Dark Energy Model