Spatially self-similar locally rotationally symmetric perfect fluid models
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
Einstein's field equations for spatially self-similar locally rotationally symmetric perfect fluid models are investigated. The field equations are rewritten as a first order system of autonomous ordinary differential equations. Dimensionless variables are chosen in such a way that the number of equations in the coupled system of differential equations is reduced as far as possible. The system is subsequently analyzed qualitatively for some of the models. The nature of the singularities occurring in the models is discussed.
Keywords
Cite
@article{arxiv.gr-qc/9511064,
title = {Spatially self-similar locally rotationally symmetric perfect fluid models},
author = {Ulf Nilsson and Claes Uggla},
journal= {arXiv preprint arXiv:gr-qc/9511064},
year = {2009}
}
Comments
27 pages, pictures available at ftp://vanosf.physto.se/pub/figures/ssslrs.tar.gz