The similarity hypothesis in general relativity

被引:34
作者
Carr, BJ [1 ]
Coley, AA
机构
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
[2] Queen Mary Univ London, Astron Unit, London E1 4NS, England
基金
加拿大自然科学与工程研究理事会;
关键词
universe model; transient attractor; self-similarity;
D O I
10.1007/s10714-005-0196-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Self-similar models are important in general relativity and other fundamental theories. In this paper we shall discuss the "similarity hypothesis", which asserts that under a variety of physical circumstances solutions of these theories will naturally evolve to a self-similar form. We will find there is good evidence for this in the context of both spatially homogenous and inhomogeneous cosmological models, although in some cases the self-similar model is only an intermediate attractor. There are also a wide variety of situations, including critical phenomena, in which spherically symmetric models tend towards self-similarity. However, this does not happen in all cases and it is important to understand the prerequisites for the conjecture.
引用
收藏
页码:2165 / 2188
页数:24
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