We investigate the dynamics of dust matter with bulk viscosity effects. We explored the analogy dynamical problem to Chaplygin gas. Due to this analogy we give exact solutions for the FRW cosmology with viscosity coefficient parameterized by the Belinskii–Khalatnikov power law dependence with respect to energy density. These exact solutions are given in the form of hypergeometrical functions. We proved simple theorem which illustrated as viscosity effects can solved the initial singularity problem present in standard cosmological model.

中文翻译：

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FRW 宇宙学中的粘性物质

我们研究了具有体积粘度效应的尘埃物质的动力学。我们探讨了 Chaplygin 气体的类比动力学问题。由于这个类比，我们给出了 FRW 宇宙学的精确解，其中粘性系数由 Belinskii-Khalatnikov 幂律依赖于能量密度参数化。这些精确解以超几何函数的形式给出。我们证明了简单的定理，即粘度效应可以解决标准宇宙学模型中存在的初始奇点问题。