The Future of Tilted Bianchi Universes
广义相对论与量子宇宙学
2009-11-10 v2 天体物理学
摘要
An asymptotic stability analysis of spatially homogeneous models of Bianchi type containing tilted perfect fluids is performed. Using the known attractors for the non-tilted Bianchi type universes, we check whether they are stable against perturbations with respect to tilted perfect fluids. We perform the analysis for all Bianchi class B models and the Bianchi type VI_0 model. In particular, we find that none of the non-tilted equilibrium points are stable against tilted perfect fluids stiffer than radiation. We also indicate parts of the phase space where new tilted exact solutions might be found.
引用
@article{arxiv.gr-qc/0304050,
title = {The Future of Tilted Bianchi Universes},
author = {John D. Barrow and Sigbjorn Hervik},
journal= {arXiv preprint arXiv:gr-qc/0304050},
year = {2009}
}
备注
17 pages; 2 figures; v2:paragraph added