Well-Posed Initial-Boundary Evolution in General Relativity
广义相对论与量子宇宙学
2011-04-21 v7
摘要
Maximally dissipative boundary conditions are applied to the initial-boundary value problem for Einstein's equations in harmonic coordinates to show that it is well-posed for homogeneous boundary data and for boundary data that is small in a linearized sense. The method is implemented as a nonlinear evolution code which satisfies convergence tests in the nonlinear regime and is robustly stable in the weak field regime. A linearized version has been stably matched to a characteristic code to compute the gravitational waveform radiated to infinity.
引用
@article{arxiv.gr-qc/0205044,
title = {Well-Posed Initial-Boundary Evolution in General Relativity},
author = {Bela Szilagyi and Jeffrey Winicour},
journal= {arXiv preprint arXiv:gr-qc/0205044},
year = {2011}
}
备注
5 pages, 6 figures; added another convergence plot to Fig. 2 + minor changes