Properties of kinematic singularities
General Relativity and Quantum Cosmology
2009-10-06 v3
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.
Cite
@article{arxiv.0907.1620,
title = {Properties of kinematic singularities},
author = {A. A. Coley and S. Hervik and W. C. Lim and M. A. H. MacCallum},
journal= {arXiv preprint arXiv:0907.1620},
year = {2009}
}
Comments
13 pages. Published version. One sentence from version 2 corrected