The Einstein-scalar field constraints on asymptotically euclidean manifolds

被引：33

作者：

Choquet-Bruhat, Y

Isenberg, J

Pollack, D

机构：

[1] Acad Sci, F-75270 Paris 06, France

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

[3] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2006年 / 27卷 / 01期

基金：

美国国家科学基金会;

关键词：

Einstein-scalar field; constraints; asymptotically Euclidian;

D O I：

10.1007/s11401-005-0280-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the conformal method, solutions of the Einstein-scalar field gravitational constraint equations are obtained. Handling scalar fields is a bit more challenging than handling matter fields such as fluids, Maxwell fields or Yang-Mills fields, because the scalar field introduces three extra terms into the Lichnerowicz equation, rather than just one. The proofs are constructive and allow for arbitrary dimension (> 2) as well as low regularity initial data.

引用

页码：31 / 52

页数：22

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