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arXiv 0811.1129gr-qchep-th
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未来奇点附近四维和五维粘性宇宙学中的奇点

A Brief Review of the Singularities in 4D and 5D Viscous Cosmologies Near the Future Singularity

I. Brevik, O. Gorbunova

摘要:

研究了宇宙流体中能量密度ρ(t)和哈勃参数H(t)等物理量在未来奇点附近的解析性质。考虑了4D和5D宇宙学(5D情况下的Randall-Sundrum II模型),并假设流体具有体积粘度ε。我们考虑爱因斯坦引力和修正引力,在后者的情况下,拉格朗日量包含一个项R^α,α为常数。如果λ与标量膨胀的幂(2α-1)成比例,则流体可以由于粘性而从精华区域进入体模区域。一个值得注意的性质是,膜上的4D奇异性会转移到体区域。

英文摘要:

Analytic properties of physical quantities in the cosmic fluid such as energy density ρ(t) and Hubble parameter H(t) are investigated near the future singularity (Big Rip). Both 4D and 5D cosmologies are considered (the Randall-Sundrum II model in the 5D case), and the fluid is assumed to possess a bulk viscosity ζ. We consider both Einstein gravity and modified gravity, where in the latter case the Lagrangian contains a term R^αwith αa constant. If ζis proportional to the power (2α-1) of the scalar expansion, the fluid can pass from the quintessence region into the phantom region as a consequence of the viscosity. A property worth noticing is that the 4D singularity on the brane becomes carried over to the bulk region.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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