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arXiv · 1212.1809

Effect of bulk Lorentz violation on anisotropic brane cosmologies

Malihe Heydari-Fard
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Abstract

The effect of Lorentz invariance violation in cosmology has attracted a considerable amount of attention. By using a dynamical vector field assumed to point in the bulk direction, with Lorentz invariance holding on the brane, we extend the notation of Lorentz violation in four dimensions to a five-dimensional brane-world. We obtain the general solution of the field equations in an exact parametric form for Bianchi type I space-time, with perfect fluid as a matter source. We show that the brane universe evolves from an isotropic/anisotropic state to an isotropic de Sitter inflationary phase at late time. The early time behavior of anisotropic brane universe is largely dependent on the Lorentz violating parameters $β_i, i = 1, 2, 3$ and the equation of state of the matter, while its late time behavior is independent of these parameters.

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Malihe Heydari-Fard. 2012-12-13. Effect of bulk Lorentz violation on anisotropic brane cosmologies. https://doi.org/10.1088/1475-7516%2F2012%2F04%2F026

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