中文

Non strict and strict hyperbolic systems for the Einstein equations

广义相对论与量子宇宙学 2007-05-23 v1

摘要

The integration of the Einstein equations split into the solution of constraints on an initial space like 3 - manifold, an essentially elliptic system, and a system which will describe the dynamical evolution, modulo a choice of gauge. We prove in this paper that the simplest gauge choice leads to a system which is causal, but hyperbolic non strict in the sense of Leray - Ohya. We review some strictly hyperbolic systems obtained recently.

关键词

引用

@article{arxiv.gr-qc/0111017,
  title  = {Non strict and strict hyperbolic systems for the Einstein equations},
  author = {Yvonne Choquet-Bruhat},
  journal= {arXiv preprint arXiv:gr-qc/0111017},
  year   = {2007}
}

备注

18 pages