Boundary Conditions for the Einstein Evolution System
广义相对论与量子宇宙学
2009-11-10 v1
摘要
New boundary conditions are constructed and tested numerically for a general first-order form of the Einstein evolution system. These conditions prevent constraint violations from entering the computational domain through timelike boundaries, allow the simulation of isolated systems by preventing physical gravitational waves from entering the computational domain, and are designed to be compatible with the fixed-gauge evolutions used here. These new boundary conditions are shown to be effective in limiting the growth of constraints in 3D non-linear numerical evolutions of dynamical black-hole spacetimes.
引用
@article{arxiv.gr-qc/0412116,
title = {Boundary Conditions for the Einstein Evolution System},
author = {Lawrence E. Kidder and Lee Lindblom and Mark A. Scheel and Luisa T. Buchman and Harald P. Pfeiffer},
journal= {arXiv preprint arXiv:gr-qc/0412116},
year = {2009}
}
备注
21 pages, 12 figures, submitted to PRD