Non-CMC solutions of the Einstein constraint equations on asymptotically Euclidean manifolds

被引：13

作者：

Dilts, James ^{[1
]}

Isenberg, Jim ^{[1
]}

Mazzeo, Rafe ^{[2
]}

Meier, Caleb ^{[3
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[3] Univ Calif San Diego, Dept Math, San Diego, CA 92093 USA

来源：

CLASSICAL AND QUANTUM GRAVITY | 2014年 / 31卷 / 06期

基金：

美国国家科学基金会;

关键词：

Einstein constraint equations; conformal method; asymptotically Euclidean manifolds; MEAN-CURVATURE;

D O I：

10.1088/0264-9381/31/6/065001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this note we prove two existence theorems for the Einstein constraint equations on asymptotically Euclidean manifolds. The first is for arbitrary mean curvature functions with restrictions on the size of the transverse-traceless data and the non-gravitational field data, while the second assumes a near-CMC condition, with no other restrictions.

引用

页数：10

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