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arXiv 0903.3087gr-qc
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粘性卡达西宇宙

Viscous Cardassian universe

Chang-Bo Sun, Jia-Ling Wang, Xin-Zhou Li

摘要:

在宇宙流体具有体粘滞性的假设下,讨论了粘滞性的卡达西宇宙学。动力学分析表明,粘性卡达西模型的相图存在一条奇异曲线。在粘滞PL模型中,状态方程参数$w_{k}$不再是常数,它可以跨越宇宙学常数分界线$w_Λ=-1$,这与普通PL模型的相同问题不同。其他型号也具有类似的特点。对于MP和exp模型,$w_{k}$比没有粘性的情况更接近-1。体粘滞系数也影响着宇宙中坍缩系统的维里化过程:体粘滞系数越大,$\frac{R_{vir}}{R_{ta}}$越大。也就是说,体相粘度对坍塌体系的发展起着阻滞作用。此外,我们还将卡达西模型与现有的Ia型超新星数据进行了拟合,并给出了体粘滞系数$τ$等模型参数的最佳拟合值。

英文摘要:

The viscous Cardassian cosmology is discussed, assuming that there is a bulk viscosity in the cosmic fluid. The dynamical analysis indicates that there exists a singular curve in the phase diagram of viscous Cardassian model. In the viscous PL model, the equation-of-state parameter $w_{k}$ is no longer a constant and it can cross the cosmological constant divide $w_Λ=-1$, in contrast with same problem of the ordinary PL model. Other models possess with similar characteristics. For MP and exp models, $w_{k}$ evolves more near -1 than the case without viscosity. The bulk viscosity also effect the virialization process of a collapse system in the universe: $\frac{R_{vir}}{R_{ta}}$ is increasingly large when the bulk viscosity is increasing. In other words, the bulk viscosity retards the progress of collapse system. In addition, we fit the viscous Cardassian models to current type Ia supernovae data and give the best fit value of the model parameters including the bulk viscosity coefficient $τ$.

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