The momentum constraints of general relativity and spatial conformal isometries

被引：16
|
作者：
Beig, R [1 ]
Murchadha, NO [1 ]
机构：
[1] NATL UNIV IRELAND UNIV COLL CORK,CORK,IRELAND
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1996年 / 176卷 / 03期
关键词：
D O I：
10.1007/BF02099258
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Transverse-tracefree (TT-) tensors on (R(3),g(ab)), With g(ab) an asymptotically flat metric of fast decay at infinity, are studied. When the source tensor from which these TT tensors are constructed has fast fall-off at infinity, TT tensors allow a multipole-type expansion. When g(ab) has no conformal Killing vectors (CKV's) it is proven that any finite but otherwise arbitrary set of moments can be realized by a suitable TT tenser. When CKV's exist there are obstructions-certain (combinations of) moments have to vanish-which we study.
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页码：723 / 738
页数：16
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