The Dominant Balance at Cosmological Singularities
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We define the notion of a finite-time singularity of a vector field and then discuss a technique suitable for the asymptotic analysis of vector fields and their integral curves in the neighborhood of such a singularity. Having in mind the application of this method to cosmology, we also provide an analysis of the time singularities of an isotropic universe filled with a perfect fluid in general relativity.
Cite
@article{arxiv.gr-qc/0608137,
title = {The Dominant Balance at Cosmological Singularities},
author = {Spiros Cotsakis and John D. Barrow},
journal= {arXiv preprint arXiv:gr-qc/0608137},
year = {2008}
}
Comments
13 pages, to appear in the Proceedings of the Greek Relativity Meeting NEB12, June 29-July 2, 2006, Nauplia, Greece