Elliptic-Hyperbolic Systems and the Einstein Equations

被引：0
|
作者：
L. Andersson
V. Moncrief
机构：
[1] Department of Mathematics,
[2] University of Miami,undefined
[3] Coral Gables,undefined
[4] FL 33124,undefined
[5] USA,undefined
[6] e-mail: larsa@math.miami.edu,undefined
[7] Department of Physics,undefined
[8] Yale University,undefined
[9] P.O. Box 208120,undefined
[10] New Haven,undefined
[11] CT 06520,undefined
[12] USA,undefined
[13] e-mail: vincent.moncrief@yale.edu,undefined
来源：
Annales Henri Poincaré | 2003年 / 4卷
关键词：
Initial Data; Cauchy Problem; Evolution Equation; Einstein Equation; Gauge Condition;
D O I：
暂无
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学科分类号：
摘要：
The Einstein evolution equations are studied in a gauge given by a combination of the constant mean curvature and spatial harmonic coordinate conditions. This leads to a coupled quasi-linear elliptic-hyperbolic system of evolution equations. We prove that the Cauchy problem is locally strongly well posed and that a continuation principle holds.¶For initial data satisfying the Einstein constraint and gauge conditions, the solutions to the elliptic-hyperbolic system defined by the gauge fixed Einstein evolution equations are shown to give vacuum space-times.
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页码：1 / 34
页数：33
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