Lagrange coordinates for the Einstein-Euler equations

被引：5
|
作者：
Oliynyk, Todd A. [1 ]
机构：
[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
来源：
PHYSICAL REVIEW D | 2012年 / 85卷 / 04期
基金：
澳大利亚研究理事会;
关键词：
WELL-POSEDNESS;
D O I：
10.1103/PhysRevD.85.044019
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We derive a new symmetric hyperbolic formulation of the Einstein-Euler equations in Lagrange coordinates that are adapted to the Frauendiener-Walton formulation of the Euler equations. As an application, we use this system to show that the densitized lapse and zero-shift coordinate systems for the vacuum Einstein equations are equivalent to Lagrange coordinates for a fictitious fluid with a specific equation of state.
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页数：13
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