Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation

被引：3

作者：

Lychagin, Valentin ^{[2
,3
]}

Yumaguzhin, Valeriy ^{[1
]}

机构：

[1] RAS, Program Syst Inst, Pereslavl Zalesskiy, Russia

[2] Univ Tromso, Tromso, Norway

[3] RAS, Inst Control Sci, Moscow 117901, Russia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 10期

关键词：

Einstein equation; Einstein complex; Cauchy problem; Differential invariant; Formal solution;

D O I：

10.1016/j.geomphys.2012.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze the Cauchy problem for the Einstein equation in the case of a non-characteristic initial hypersurface. To find the correct notions for the characteristic and Cauchy data we introduce a complex, which we call the Einstein complex. Then the Cauchy problem acquires correctness in terms of the associated spectral sequence. We define the Cauchy data in such way that they allow us to reconstruct a cohomologously unique formal solution. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：2099 / 2120

页数：22

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