THE MOMENTUM CONSTRAINTS OF GENERAL-RELATIVITY AND SPATIAL CONFORMAL ISOMETRIES

Authors
BEIG R MURCHADHA NO
Citation
R. Beig et No. Murchadha, THE MOMENTUM CONSTRAINTS OF GENERAL-RELATIVITY AND SPATIAL CONFORMAL ISOMETRIES, Communications in Mathematical Physics, 176(3), 1996, pp. 723-738
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
176
Issue
3
Year of publication
1996
Pages
723 - 738
Database
ISI
SICI code
0010-3616(1996)176:3<723:TMCOGA>2.0.ZU;2-3
Abstract
Transverse-tracefree (TT-) tensors on (R(3),g(ab)), With g(ab) an asym ptotically flat metric of fast decay at infinity, are studied. When th e source tensor from which these TT tensors are constructed has fast f all-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 sui table TT tenser. When CKV's exist there are obstructions-certain (comb inations of) moments have to vanish-which we study.