Asymptotic states in brane cosmology with a nonlocal anisotropic stress

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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13 pages with 2 eps figures

Scientific paper

10.1088/0264-9381/19/19/310

We investigate the dynamics of a Bianchi I brane Universe in the presence of a nonlocal anisotropic stress ${\cal P}_{\mu\nu}$ 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 $p=(\gamma-1)\rho$ 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.

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