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arXiv · gr-qc/0304050

The Future of Tilted Bianchi Universes

John D. Barrow·Sigbjorn Hervik
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Abstract

An asymptotic stability analysis of spatially homogeneous models of Bianchi type containing tilted perfect fluids is performed. Using the known attractors for the non-tilted Bianchi type universes, we check whether they are stable against perturbations with respect to tilted perfect fluids. We perform the analysis for all Bianchi class B models and the Bianchi type VI_0 model. In particular, we find that none of the non-tilted equilibrium points are stable against tilted perfect fluids stiffer than radiation. We also indicate parts of the phase space where new tilted exact solutions might be found.

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John D. Barrow, Sigbjorn Hervik. 2003-04-15. The Future of Tilted Bianchi Universes. https://doi.org/10.1088/0264-9381%2F20%2F13%2F329

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