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arXiv 0901.1626gr-qcastro-ph.COhep-th
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突发和大撕裂奇点的经典稳定性

Classical Stability of Sudden and Big Rip Singularities

John D. Barrow, Sean Z. W. Lip

摘要:

我们介绍了突然的宇宙学奇异性的一般特征和研究的经典稳定性的均匀和各向同性的宇宙学解决方案的所有曲率包含这些奇异性的小标量,矢量和张量扰动使用规范不变微扰理论。我们建立的突然奇点的标度因子,膨胀率和密度是有限的是稳定的,除了一组特殊的参数值。我们还将我们的分析大撕裂奇点的稳定性,并找到他们对小标量,矢量和张量扰动稳定的条件。

英文摘要:

We introduce a general characterization of sudden cosmological singularities and investigate the classical stability of homogeneous and isotropic cosmological solutions of all curvatures containing these singularities to small scalar, vector, and tensor perturbations using gauge invariant perturbation theory. We establish that sudden singularities at which the scale factor, expansion rate, and density are finite are stable except for a set of special parameter values. We also apply our analysis to the stability of Big Rip singularities and find the conditions for their stability against small scalar, vector, and tensor perturbations.

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