Choptuik 比例与爱因斯坦方程尺度不变性
广义相对论与量子宇宙学
2010-01-06 v2
摘要
The relationship of Choptuik scaling to the scale invariance of Einstein's equation is explored. Ordinary dynamical systems often have limit cycles: periodic orbits that are the asymptotic limit of generic solutions. We show how to separate Einstein's equation into the dynamics of the overall scale and the dynamics of the ``scale invariant'' part of the metric. Periodicity of the scale invariant part implies periodic self-similarity of the spacetime. We also analyze a toy model that exhibits many of the features of Choptuik scaling.
引用
@article{arxiv.gr-qc/9612015,
title = {Choptuik scaling and the scale invariance of Einstein's equation},
author = {David Garfinkle},
journal= {arXiv preprint arXiv:gr-qc/9612015},
year = {2010}
}
备注
references added and discussion modified