有涡度的Bianchi模型：III型分岔
Bianchi models with vorticity: The type III bifurcation
摘要：
我们研究了倾斜的完美流体Bianchi III型模型的后期行为，使用动力系统的方法。我们认为模型与灰尘，和完美的流体比灰尘硬，并回避后期的行为，通过研究中心流形，主导的行为模型在后期。在尘埃的情况下，这个中心流形是3维的，可以被认为是一个双分叉的2个参数（$h$和$γ$）的VI型$_h$模型是不同的。我们计算了衰变率，并表明，尘埃或更硬的模型接近真空时空，然而，它这样做相当缓慢：$ρ/H^2\sim 1/\ln t$。
英文摘要：
We study the late-time behaviour of tilted perfect fluid Bianchi type III models using a dynamical systems approach. We consider models with dust, and perfect fluids stiffer than dust, and eludicate the late-time behaviour by studying the centre manifold which dominates the behaviour of the model at late times. In the dust case, this centre manifold is 3-dimensional and can be considered as a double bifurcation as the 2 parameters ($h$ and $γ$) of the type VI$_h$ model are varied. We calculate the decay rates and show that for dust or stiffer the models approach a vacuum spacetime, however, it does so rather slowly: $ρ/H^2\sim 1/\ln t$.
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