后准静态近似下的剪切粘性
Shear Viscosity in the Post-quasistatic Approximation
摘要：
本文应用后准静态近似，研究了广义相对论中各向异性非绝热辐射和耗散分布的演化。耗散描述的粘度和自由流动的辐射，假设一个状态方程模型的剪切粘度引起的各向异性。我们匹配的内部解决方案，在非共动坐标，与Vaidya外部解决方案。基于Schwarzschild和Tolman VI解，在非绝热和绝热极限下，提出了两个简单的模型。在这两种情况下，分布的最终塌陷或扩展主要由粘度引起的各向异性控制。
英文摘要：
We apply the post-quasi--static approximation, an iterative method for the evolution of self-gravitating spheres of matter, to study the evolution of anisotropic non-adiabatic radiating and dissipative distributions in General Relativity. Dissipation is described by viscosity and free-streaming radiation, assuming an equation of state to model anisotropy induced by the shear viscosity. We match the interior solution, in non-comoving coordinates, with the Vaidya exterior solution. Two simple models are presented, based on the Schwarzschild and Tolman VI solutions, in the non--adiabatic and adiabatic limit. In both cases the eventual collapse or expansion of the distribution is mainly controlled by the anisotropy induced by the viscosity.
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