``Nowhere'' differentiable horizons
广义相对论与量子宇宙学
2009-10-28 v1
摘要
It is folklore knowledge amongst general relativists that horizons are well behaved, continuously differentiable hypersurfaces except perhaps on a negligible subset one needs not to bother with. We show that this is not the case, by constructing a Cauchy horizon, as well as a black hole event horizon, which contain no open subset on which they are differentiable.
引用
@article{arxiv.gr-qc/9611032,
title = {``Nowhere'' differentiable horizons},
author = {P. T. Chrusciel and G. J. Galloway},
journal= {arXiv preprint arXiv:gr-qc/9611032},
year = {2009}
}
备注
28 pages, Latex with pstricks and graphicx, 4 ps figures