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

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

2003-10-06

arxiv.org/abs/gr-qc/0310033v3

Gen.Rel.Grav. 36 (2004) 1939-1945

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 7 pages, no figures; (v2) some clarification comments are added in the discussion and one reference; (v3) minor correct

Scientific paper

10.1023/B:GERG.0000036051.44778.

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 $\gamma $ 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 $n_\alpha ^\alpha =0$ 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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