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arXiv 0907.1620gr-qc
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运动奇点的性质

Properties of kinematic singularities

A. A. Coley, S. Hervik, W. C. Lim, M. A. H. MacCallum

摘要:

局部旋转对称的倾斜完美流体Bianchi V型宇宙模型提供了未来测地线完备时空的例子,这些时空承认一个“运动学奇点”,在这个奇点处流体同余是不可扩展的,但Weyl和Ricci张量的所有框架分量仍然有界。我们表明,对于任何正整数n有Bianchi V型时空的例子承认一个运动学奇点,这样的协变导数的Weyl和Ricci张量的第n阶也保持有界。我们简要地讨论了经典时空中的奇点。

英文摘要:

The locally rotationally symmetric tilted perfect fluid Bianchi type V cosmological model provides examples of future geodesically complete spacetimes that admit a `kinematic singularity' at which the fluid congruence is inextendible but all frame components of the Weyl and Ricci tensors remain bounded. We show that for any positive integer n there are examples of Bianchi type V spacetimes admitting a kinematic singularity such that the covariant derivatives of the Weyl and Ricci tensors up to the n-th order also stay bounded. We briefly discuss singularities in classical spacetimes.

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