Large-scale perturbations on the brane and the isotropy of the cosmological singularity

Abstract

We present the complete set of propagation and constraint equations for the kinematic and non-local first order quantities which describe general linear inhomogeneous and anisotropic perturbations of a flat FRW braneworld with vanishing cosmological constant and decompose them in the standard way into their scalar, vector and tensor contributions. A detailed analysis of the perturbation dynamics is performed using dimensionless variables that are specially tailored for the different regimes of interest; namely, the low energy GR regime, the high energy regime and the dark energy regime. Tables are presented for the evolution of all the physical quantities, making it easy to do a detailed comparison of the past asymptotic behaviour of the perturbations of these models. We find results that exactly match those obtained in the analysis of the spatially inhomogeneous $G_2$ braneworld cosmologies presented recently; i.e., that isotropization towards the ${\mathcal{F}}_b$ model occurs for $\gamma >4/3$.

arXiv comment13 pages, revtex4

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• Cosmo-dynamics and dark energy with a quadratic EoS: anisotropic models, large-scale perturbations and cosmological singularities
• Brane inflation in background supergravity
• A solution to the anisotropy problem in bouncing cosmologies
• Compactifying the state space for alternative theories of gravity
• Asymptotic behavior of a scalar field with an arbitrary potential trapped on a Randall-Sundrum's braneworld: the effect of a negative dark radiation term on a Bianchi I brane
• Covariant gravitational dynamics in 3+1+1 dimensions
• Perturbations in a regular bouncing Universe
• Brane cosmology, Weyl fluid, and density perturbations
• Braneworld Isotropization and Magnetic Fields
• 3+1+1 dimensional covariant gravitational dynamics on an asymmetrically embedded brane
• The Dynamics of Brane-World Cosmological Models
• Growth of covariant perturbations in the contracting phase of a bouncing universe