Well-posed constraint-preserving boundary conditions for the AA formulation of Einstein's equations

被引：2
|
作者：
Tarfulea, Nicolae [1 ]
机构：
[1] Purdue Univ Calumet, Dept Math, Hammond, IN 46323 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 359卷 / 02期
关键词：
Einstein's equations; Hyperbolic systems; Boundary conditions; HYPERBOLIC SYSTEMS; EVOLUTION; RELATIVITY; FORMALISM;
D O I：
10.1016/j.jmaa.2009.06.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we address the problem of artificial boundary conditions for the symmetric linearized hyperbolic formulation of Einstein's equations introduced in [A.M. Alekseenko, D.N. Arnold, New first-order formulation for the Einstein equations, Phys. Rev. D (3) 68 (6) (2003) 064013, 6 pp.]. We prescribe simple boundary conditions that make the problem well-posed and preserve the constraints. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：711 / 721
页数：11
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