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• W2109983006 abstract "We use expansion-normalised variables to investigate the Bianchi type VII$_0$ model with a tilted $gamma$-law perfect fluid. We emphasize the late-time asymptotic dynamical behaviour of the models and determine their asymptotic states. Unlike the other Bianchi models of solvable type, the type VII$_0$ state space is unbounded. Consequently we show that, for a general non-inflationary perfect fluid, one of the curvature variables diverges at late times, which implies that the type VII$_0$ model is not asymptotically self-similar to the future. Regarding the tilt velocity, we show that for fluids with $gamma<4/3$ (which includes the important case of dust, $gamma=1$) the tilt velocity tends to zero at late times, while for a radiation fluid, $gamma=4/3$, the fluid is tilted and its vorticity is dynamically significant at late times. For fluids stiffer than radiation ($gamma>4/3$), the future asymptotic state is an extremely tilted spacetime with vorticity." @default.
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• W2109983006 date "2006-01-18" @default.
• W2109983006 modified "2023-09-23" @default.
• W2109983006 title "The futures of Bianchi type VII ₀ cosmologies with vorticity" @default.
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• W2109983006 doi "https://doi.org/10.1088/0264-9381/23/3/018" @default.
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