Asymptotic states in brane cosmology with a nonlocal anisotropic stress

Abstract

We investigate the dynamics of a Bianchi I brane Universe in the presence of a nonlocal anisotropic stress ${\mathcal{P}}_{\mu \nu }$ proportional to a "dark energy" $\mathcal{U}$. Using this ansatz for the case $\mathcal{U}>0$ we prove that if a matter on a brane satisfies the equation of state $p=(\gamma -1)\rho$ with $\gamma \le 4/3$ then all such models isotropize. For $\gamma >4/3$ anisotropic future asymptotic states are found. We also describe the past asymptotic regimes for this model.

13 pages with 2 eps figures

References in corpus (5)

• Evolution of Cosmological Models in the Brane-world Scenario
• Bulk effects in the cosmological dynamics of brane-world scenarios
• Brane-world generalizations of the Einstein static universe
• The shear dynamics in Bianchi I cosmological model on the brane
• Magnetic Brane-worlds

Cited by in corpus (7)

• Braneworld cosmological models with anisotropy
• Bianchi II Brane-world Cosmologies ($\mathcal{U}\ge 0$)
• Thick Brane Isotropization in a Generalized 5D Anisotropic Standing Wave Braneworld Model
• Anisotropic Inflation in a 5D Standing Wave Braneworld and Dimensional Reduction
• Reformulation and Interpretation of SMS Braneworld
• Brane-world Cosmologies with non-local bulk effects
• The Dynamics of Brane-World Cosmological Models