Instabilities in numerical loop quantum cosmology
广义相对论与量子宇宙学
2009-11-11 v1
摘要
In this article we perform von Neumann analysis of the difference equations that arise as a result of loop quantum gravity being applied to models of cosmology and black holes. In particular, we study the numerical stability of Bianchi I LRS (symmetric and non-symmetric constraint) and Schwarzschild interior (symmetric constraint) models, and find that there exist domains over which there are instabilities, generically. We also present explicit evolutions of wave-packets in these models and clearly demonstrate the presence of these instabilities.
引用
@article{arxiv.gr-qc/0607044,
title = {Instabilities in numerical loop quantum cosmology},
author = {Jessica Rosen and Jae-Hun Jung and Gaurav Khanna},
journal= {arXiv preprint arXiv:gr-qc/0607044},
year = {2009}
}
备注
6 pages, 8 figures