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 \U0001d4abμν proportional to a ‘dark energy’ \U0001d4b0. Using this ansatz for the case \U0001d4b0 > 0 we prove that if a matter on a brane satisfies the equation of state p = (γ − 1)ρ with γ ≤ 4/3 then all such models isotropize. Anisotropic future asymptotic states are found for γ > 4/3. We also describe the past asymptotic regimes for this model.