The Similarity Hypothesis in General Relativity
Abstract
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 pheneomena, in which spherically symmetric models tend towards self-similarity. However, this does not happen in all cases and it is it is important to understand the prerequisites for the conjecture.
Cite
@article{arxiv.gr-qc/0508039,
title = {The Similarity Hypothesis in General Relativity},
author = {B. J. Carr and A. A. Coley},
journal= {arXiv preprint arXiv:gr-qc/0508039},
year = {2009}
}
Comments
to be submitted to Gen. Rel. Grav