The Einstein constraint equations on compact manifolds with boundary

被引：4
|
作者：
Dilts, James [1 ]
机构：
[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
CLASSICAL AND QUANTUM GRAVITY | 2014年 / 31卷 / 12期
基金：
美国国家科学基金会;
关键词：
general relativity; Einstein constraint equations; initial data; compact with boundary; MEAN-CURVATURE SOLUTIONS;
D O I：
10.1088/0264-9381/31/12/125009
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We continue the study of the Einstein constraint equations on compact manifolds with boundary initiated by Holst and Tsogtgerel. In particular, we consider the full system and prove existence of solutions in both the nearconstant mean curvature (CMC) and far-from-CMC (for Yamabe positive metrics) cases. We also make partial progress in proving the results of previous ` limit equation' papers by Dahl, Gicquaud, Humbert and Sakovich.
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页数：27
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