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- W1995171038 abstract "We apply the dynamical systems approach to ever-expanding Bianchi type VIII cosmologies filled with a tilted $gamma$-fluid undergoing velocity diffusion on a scalar field. We determine the future attractors and investigate the late-time behaviour of the models. We find that at late times the normalized energy density $Omega$ tends to zero, while the scalar potential $Phi$ approaches 1 and dominates the evolution. Moreover, we demonstrate that in presence of diffusion fluids with $gamma<3/2$, which includes physically important cases of dust $(gamma=1)$ and radiation $(gamma=4/3)$, are asymptotically non-tilted; the velocity of the fluid with $gamma=3/2$ tends to a constant value $0<bar{V}<1$; and stiffer fluids evolve towards a state of extreme tilt. Finally, we show that diffusion significantly reduces the decay rates of energy density for dust and fluids stiffer than dust $(gamma geq 1)$; for example, at $gamma=4/3$ (radiation) we obtain $rho/H^2 propto e^{-3H_0 t}$ at late times, while $rho/H^2 propto e^{-4H_0 t}$ when diffusion is absent." @default.
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- W1995171038 date "2014-06-13" @default.
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- W1995171038 title "The late-time behaviour of tilted Bianchi type VIII universes in presence of diffusion" @default.
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- W1995171038 doi "https://doi.org/10.1088/0264-9381/31/13/135006" @default.
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