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Asymptotic states in brane cosmology with a nonlocal anisotropic stress

N. Yu. Savchenko·S. V. Savchenko·A. V. Toporensky
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Abstract

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

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N. Yu. Savchenko, S. V. Savchenko, A. V. Toporensky. 2002-04-22. Asymptotic states in brane cosmology with a nonlocal anisotropic stress. https://doi.org/10.1088/0264-9381%2F19%2F19%2F310

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