Thick Brane Isotropization in a Generalized 5D Anisotropic Standing Wave Braneworld Model

Abstract

We study a smooth cosmological solution within a generalized 5D standing wave braneworld modeled by gravity and a phantom scalar field. In this model the 3-brane is anisotropically warped along its spatial dimensions and contains a novel time-dependent scale factor that multiplies the anisotropic spatial interval of the 5D metric, a fact that allows us to study cosmological effects. By explicitly solving the bulk field equations we found a natural mechanism which isotropizes the braneworld for a wide class of natural initial conditions. We are able to give a physical interpretation of the anisotropic dissipation: as the anisotropic energy of the 3-brane rapidly leaks into the bulk through the nontrivial components of the projected to the brane non-local Weyl tensor, the bulk becomes less isotropic. At the same time, under the action of the 4D cosmological constant, the anisotropic braneworld super-exponentially isotropizes by itself, rendering a 3-brane with de Sitter symmetry embedded in a 5D de Sitter space-time, while the phantom scalar field exponentially vanishes.

9 pages in latex, title changed, physical discussion added

References in corpus (13)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Mass gap for gravity localized on Weyl thick branes
• Tensor perturbations of $f(R)$-branes
• Friedmann branes with variable tension
• Do the cosmological observational data prefer phantom dark energy?
• Black string corrections in variable tension braneworld scenarios
• Localization of gravity on a de Sitter thick braneworld without scalar fields
• Notes on the Two-brane Model with Variable Tension
• First-order framework and domain-wall/brane-cosmology correspondence
• Localization Problem in the 5D Standing Wave Braneworld
• Geodesic congruences in warped spacetimes
• Localization of Matter Fields in the 5D Standing Wave Braneworld

Cited by in corpus (12)

• Null fluid collapse in brane world models
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• Anisotropic Inflation in a 5D Standing Wave Braneworld and Dimensional Reduction
• Regular Bulk Solutions in Brane-worlds with Inhomogeneous Dust and Generalized Dark Radiation
• Localization of Matter Fields in the 5D Standing Wave Braneworld
• Configurational entropy of generalized sine-Gordon-type models
• The 5D Standing Wave Braneworld With Real Scalar Field
• Gauge Fields in the 5D Gravity-Scalar Standing Wave Braneworld
• Fermions in the 5D Gravity-Scalar Standing Wave Braneworld
• New Class of N-dimensional Braneworlds
• Standing Waves Braneworlds
• Hierarchy of Fermion Masses in the 5D Standing Wave Braneworld