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On tilted perfect fluid Bianchi type VI$_0$ self-similar models

Pantelis S. Apostolopoulos
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Abstract

We show that the tilted perfect fluid Bianchi VI$_0$ family of self-similar models found by Rosquist and Jantzen [K. Rosquist and R. T. Jantzen, \emph{% Exact power law solutions of the Einstein equations}, 1985 Phys. Lett. \textbf{107}A 29-32] is the most general class of tilted self-similar models but the state parameter $γ$ lies in the interval $(\frac 65,\frac 32) $. The model has a four dimensional stable manifold indicating the possibility that it may be future attractor, at least for the subclass of tilted Bianchi VI$_0$ models satisfying $n_α^α=0$ in which it belongs. In addition the angle of tilt is asymptotically significant at late times suggesting that for the above subclasses of models the tilt is asymptotically extreme.

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Pantelis S. Apostolopoulos. 2004-08-25. On tilted perfect fluid Bianchi type VI$_0$ self-similar models. https://doi.org/10.1023/b%3Agerg.0000036051.44778.d8

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