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arXiv 0908.2882gr-qc
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粘性宇宙学中大撕裂奇点附近的Casimir效应

Casimir Effects Near the Big Rip Singularity in Viscous Cosmology

Iver Brevik, Olesya Gorbunova, Diego Saez-Gomez

摘要:

研究了宇宙流体中标量展开的解析性质,特别是在未来奇点附近,当流体具有常数体粘滞系数时。此外,我们假设在流体的能量-动量张量中存在卡西米尔诱导项,以这种方式,卡西米尔对能量密度和压力的贡献都与1/a^4成比例,“a”是标度因子。在Casimir影响较小的条件下,对标量展开式进行了级数展开。然而,在接近大撕裂奇异性时,Casimir项消失了,我们得到了标量展开、标度因子和能量密度的相同奇异行为,就像Casimir自由粘性情况一样。

英文摘要:

Analytical properties of the scalar expansion in the cosmic fluid are investigated, especially near the future singularity, when the fluid possesses a constant bulk viscosity ζ. In addition, we assume that there is a Casimir-induced term in the fluid's energy-momentum tensor, in such a way that the Casimir contributions to the energy density and pressure are both proportional to 1/a^4, 'a' being the scale factor. A series expansion is worked out for the scalar expansion under the condition that the Casimir influence is small. Close to the Big Rip singularity the Casimir term has however to fade away and we obtain the same singular behavior for the scalar expansion, the scale factor, and the energy density, as in the Casimir-free viscous case.

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