Ikjyot Singh Kohli, Michael C. Haslam
We use the expansion-normalized variables approach to study the dynamics of a non-tilted Bianchi Type I cosmological model with both a pure, homogeneous source-free magnetic field and viscous fluid with both bulk and shear viscous effects, employing the ideal magnetohydrodynamic approximation. The dynamical system is then studied in detail through a fixed-point analysis which determines the local sink and source behaviour in combination with standard dynamical system theory and numerical experiments that give a very good indication of the asymptotic behaviour of the system. It is further shown that for certain values of the bulk and shear viscosity and equation of state parameters, the model isotropizes at late times.
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http://arxiv.org/abs/1304.8042
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