A note on the wellposedness of scalar brane world cosmological perturbations

Abstract

We discuss scalar brane world cosmological perturbations for a 3-brane world in a maximally symmetric 5D bulk. We show that Mukoyama's master equations leads, for adiabatic perturbations of a perfect fluid on the brane and for scalar field matter on the brane, to a well posed problem despite the "non local" aspect of the boundary condition on the brane. We discuss in relation to the wellposedness the way to specify initial data in the bulk.

14 pages, one figure, v2 minor changes

References in corpus (3)

• Strong coupling in brane-induced gravity in five dimensions
• Schwarzschild solution in brane induced gravity
• Late time behavior of cosmological perturbations in a single brane model

Cited by in corpus (15)

• The Phenomenology of Dvali-Gabadadze-Porrati Cosmologies
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Ghosts in the self-accelerating universe
• Cosmological perturbations in the DGP braneworld: numeric solution
• Covariant gravitational dynamics in 3+1+1 dimensions
• Cosmological perturbations of brane-induced gravity and the vDVZ discontinuity on FLRW space-times
• Gravitational instability on the brane: the role of boundary conditions
• Cosmological perturbations on the Phantom brane
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• Ellipsoidal universe in the brane world
• Linearized Israel Matching Conditions for Cosmological Perturbations in a Moving Brane Background
• 3+1+1 dimensional covariant gravitational dynamics on an asymmetrically embedded brane
• A no-boundary proposal for braneworld perturbations
• Dissipation and nonlocality in a general expanding braneworld universe
• Scalar cosmological perturbations in the Gauss-Bonnet braneworld