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arXiv · 0907.1620

Properties of kinematic singularities

A. A. Coley·S. Hervik·W. C. Lim·M. A. H. MacCallum
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Abstract

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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A. A. Coley, S. Hervik, W. C. Lim, M. A. H. MacCallum. 2009-10-06. Properties of kinematic singularities. https://doi.org/10.1088/0264-9381%2F26%2F21%2F215008

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