A note on behaviour at an isotropic singularity
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
The behaviour of Jacobi fields along a time-like geodesic running into an isotropic singularity is studied. It is shown that the Jacobi fields are crushed to zero length at a rate which is the same in every direction orthogonal to the geodesic. We show by means of a counter-example that this crushing effect depends crucially on a technicality of the definition of isotropic singularities, and not just on the uniform degeneracy of the metric at the singularity.
Cite
@article{arxiv.gr-qc/0101119,
title = {A note on behaviour at an isotropic singularity},
author = {Brien C. Nolan},
journal= {arXiv preprint arXiv:gr-qc/0101119},
year = {2009}
}
Comments
13 pp. plain latex. To appear in Classical and Quantum Gravity