Isotropy and Stability of the Brane

Abstract

We reexamine Wald's no-hair theorem for global anisotropy in the brane world scenarios. We derive a set of sufficient conditions which must be satisfied by the brane matter and bulk metric so that a homogeneous and anisotropic brane asymptotically evolves to a de Sitter spacetime in the presence of a positive cosmological constant on the brane. We discuss the violations of these sufficient conditions and we show that a negative nonlocal energy density or the presence of strong anisotropic stress (i.e., a magnetic field) may lead the brane to collapse. We discuss the generality of these conditions.

8 pages, 2 figures, corrected some typos and title

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• Classical tests of general relativity in brane world models
• Viscous Bianchi type I universes in brane cosmology
• Anisotropy in Bianchi-type brane cosmologies
• Dynamics of Brane-World Cosmological Models
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• Solar system tests of brane world models
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• Anisotropic brane gravity with a confining potential
• Bianchi IX Brane-world Cosmologies
• Braneworld cosmological models with anisotropy
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• Brane cosmology with an anisotropic bulk
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• Anisotropy and inflation in Bianchi I brane worlds
• Large-scale perturbations on the brane and the isotropy of the cosmological singularity
• Inflationary Cosmologies in an Anisotropic Brane World
• Spherically symmetric solutions and gravitational collapse in brane-worlds
• Anisotropic Inflation in a 5D Standing Wave Braneworld and Dimensional Reduction
• Scaling solutions on a brane
• Spherically Symmetric Thick Branes Cosmological Evolution
• Singularities on the brane aren't isotropic
• Inflation in Bianchi models and the cosmic no hair theorem in brane world
• Reformulation and Interpretation of SMS Braneworld
• Braneworld Isotropization and Magnetic Fields
• Chaotic Inflationary Universe on Brane
• New properties of scalar field dynamics in brane isotropic cosmological models
• The Dynamics of Brane-World Cosmological Models
• On asymptotic behavior of anisotropic Dvali-Gabadadze-Porrati branes
• Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
• Brane-world Cosmologies with non-local bulk effects
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• Brane Isotropisation in Extra-Dimensional Tolman-Bondi Universe
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