Late time behaviour of cosmological perturbations in a single-brane model
@article{Koyama2004LateTB, title={Late time behaviour of cosmological perturbations in a single-brane model}, author={Kazuya Koyama}, journal={Journal of Cosmology and Astroparticle Physics}, year={2004}, volume={2004}, pages={010-010} }
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 the Poincare coordinate. The junction conditions imposed at the moving brane are solved numerically. The recovery of four-dimensional Einstein gravity at late times is shown by solving the five-dimensional…
16 Citations
Late time behaviour of cosmological perturbations in a single-brane model
- Physics
- 2004
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…
Note on the well-posedness of scalar brane world cosmological perturbations
- Mathematics, Physics
- 2005
I discuss scalar brane world cosmological perturbations for a 3-brane world in a maximally symmetric 5D bulk. I show that Mukoyama's master equations lead, for adiabatic perturbations of a perfect…
Braneworld cosmological perturbations
- Physics
- 2006
We explore aspects of cosmological perturbations in braneworld scenarios. In order to correctly evaluate perturbations on a four-dimensional brane, we need to solve higher dimensional bulk…
Scalar cosmological perturbations in the Gauss–Bonnet braneworld
- Physics
- 2006
We study scalar cosmological perturbations in a braneworld model with a bulk Gauss–Bonnet term. For an anti-de Sitter bulk, the five-dimensional perturbation equations share the same form as in the…
Scalar perturbations in braneworld cosmology
- Physics
- 2007
We study the behaviour of scalar perturbations in the radiation-dominated era of Randall–Sundrum braneworld cosmology by numerically solving the coupled bulk and brane master wave equations. We find…
Leading order corrections to the cosmological evolution of tensor perturbations in braneworld (Short version)
- Physics
- 2004
Tensor perturbations in an expanding braneworld of the Randall Sundrum type are investigated. We consider a model composed of a slow-roll inflation phase and the succeeding radiation phase. The…
Linearized Israel Matching Conditions for Cosmological Perturbations in a Moving Brane Background
- Physics
- 2005
In the Randall-Sundrum cosmological models, a (3+1)-dimensional brane subject to a Z2 orbifold symmetry is embedded in a (4+1)-dimensional bulk spacetime empty except for a negative cosmological…
Numerical study of curvature perturbations in a brane-world inflation at high-energies
- Physics
- 2006
We study the evolution of scalar curvature perturbations in a brane-world inflation model in a 5D anti-de Sitter space–time. The inflaton perturbations are confined to a 4D brane but they are coupled…
Graviton production in brane worlds by the dynamical Casimir effect
- Physics
- 2009
If our Universe is a 3+1 brane in a warped 4+1 dimensional bulk so that its expansion can be understood as the motion of the brane in the bulk, the time dependence of the boundary conditions for…
References
SHOWING 1-10 OF 60 REFERENCES
Late time behaviour of cosmological perturbations in a single-brane model
- Physics
- 2004
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…
Evolution of cosmological perturbations in a brane-universe.
- PhysicsPhysical review letters
- 2001
In the present Letter, the impact of the existence of extra dimensions on cosmology, in particular, on the evolution of cosmological perturbations is analyzed.
Cosmological Perturbations in Brane-World Theories: Formalism
- Physics
- 2000
We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories. In particular, this formalism applies to models originating from heterotic M theory.…
Cosmic vorticity on the brane
- Physics
- 2001
We study vector perturbations about four-dimensional brane-world cosmologies embedded in a five-dimensional vacuum bulk. Even in the absence of matter perturbations, vector perturbations in the bulk…
Cosmological tensor perturbations in the Randall-Sundrum model: Evolution in the near-brane limit
- Physics
- 2004
We discuss the evolution of cosmological tensor perturbations in the Randall-Sundrum model with one brane. In Gaussian normal coordinates the wave equation is nonseparable, so we use the near-brane…
Brane cosmological perturbations
- Physics
- 2000
We address the question of cosmological perturbations in the context of brane cosmology, where our Universe is a three-brane where matter is confined, whereas gravity lives in higher-dimensional…
Brane world cosmology
- Physics
- 2000
A simple model of the brane-world cosmology has been proposed, which is characterized by four parameters, namely, the bulk cosmological constant, the spatial curvature of the universe, the radiation…
On brane world cosmological perturbations
- Physics
- 2002
We discuss the scalar cosmological perturbations in a 3-brane world with a 5D bulk. We first show explicitly how the effective perturbed Einstein equations on the brane (involving the Weyl fluid) are…
Density perturbations in the brane-world
- Physics
- 2001
In Randall-Sundrum-type brane-world cosmologies, density perturbations generate a Weyl curvature in the bulk, which in turn back reacts on the brane via stress-energy perturbations. On large scales,…
Stochastic Gravitational Wave Background in Brane World Cosmology
- Physics
- 2004
We investigate the cosmological evolution of gravitational waves in Friedman-Robertson-Walker brane world models embedded in a five dimensional anti de-Sitter spacetime. To predict the spectrum of…