Properties of kinematic singularities

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

doi:10.1088/0264-9381/26/21/215008

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Properties of kinematic singularities

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Lim, W. C.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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cqg9_21_215008.pdf
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0907.1620v1.pdf
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Citation

Coley, A. A., Hervik, S., Lim, W. C., & MacCallum, M. A. H. (2009). Properties of kinematic singularities. Classical and Quantum Gravity, 26: 215008. doi:10.1088/0264-9381/26/21/215008.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4633-D

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 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 also stay bounded. We briefly discuss singularities in classical spacetimes.