arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1901.09787gr-qc
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粘性宇宙论

Viscous Cosmologies

Sergio Bravo Medina, Marek Nowakowski, Davide Batic

摘要:

我们探讨充满非零粘度的夸克-胶子等离子体的宇宙。特别地,我们研究了具有非零剪切粘度的宇宙的演化,其动机是由于量子力学效应导致的夸克-胶子等离子体中剪切粘度不为零的理论结果。我们首先审查的后果,一个非零的体积粘度和明确显示的非奇异性质的体积粘度宇宙计算的宇宙尺度因子$R(t)$只渐近地趋于零。我们进一步扩展了体粘滞系数模型,使之包含一个宇宙学常数。我们对比以前的结果与非零剪切粘度的宇宙学的宇宙。我们首先澄清在何种条件下剪切粘度条款是兼容的弗里德曼-Lamaetretre-Robertson-Walker度规。为此,我们使用一个版本的能量动量张量从穆勒-伊斯雷尔-斯图尔特理论,导致因果Navier-Stoke方程。然后,我们推导出相应的弗里德曼方程,并表明在什么条件下宇宙出现非奇异。

英文摘要:

We probe into universes filled with Quark Gluon Plasma with non-zero viscosities. In particular, we study the evolution of a universe with non-zero shear viscosity motivated by the theoretical result of a non-vanishing shear viscosity in the Quark Gluon Plasma due to quantum-mechanical effects. We first review the consequences of a non-zero bulk viscosity and show explicitly the non-singular nature of the bulk-viscosity-universe by calculating the cosmological scale factor $R(t)$ which goes to zero only asymptotically. We further extend the model of bulk viscosity to include a Cosmological Constant. We contrast the previous results with the cosmology of universes with non-zero shear viscosity. We first clarify under which conditions shear viscosity terms are compatible with the Friedmann-Lamaître-Robertson-Walker metric. To this end we use a version of the energy-momentum tensor from the Müller-Isreal-Stewart theory which leads to causal Navier-Stoke equations. We then derive the corresponding Friedmann equations and show under which conditions the universe emerges non-singular.

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