Boundary Conditions for the Einstein Evolution System
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
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.
Keywords
Cite
@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}
}
Comments
21 pages, 12 figures, submitted to PRD