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

页码：711 / 721

页数：11

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