Conserved quasilocal quantities and general covariant theories in two dimensions

被引:36
作者
Kummer, W
Widerin, P
机构
[1] Institut für Theoretische Physik, Technische Universität Wien, A-1040 Wien
来源
PHYSICAL REVIEW D | 1995年 / 52卷 / 12期
关键词
D O I
10.1103/PhysRevD.52.6965
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
General matterless theories in 1+1 dimensions include dilaton gravity, Yang-Mills theory, as well as non-Einsteinian gravity with dynamical torsion and higher power gravity, and even models of spherically symmetric d = 4 general relativity. Their recent identification as special cases of ''Poisson-sigma models'' with a simple general solution in an arbitrary gauge allows a comprehensive discussion of the relation between the known absolutely conserved quantities in all those cases and Noether charges, notions of quasilocal ''energy-momentum.'' In contrast with Noether-like quantities, quasilocal energy definitions require some sort of ''asymptotics'' to allow an interpretation as a (gauge-independent) observable. Dilaton gravitation, although a little different in detail, shares this property with the other cases. We also present a simple generalization of the absolute conservation law for the case of interactions with matter of any type.
引用
收藏
页码:6965 / 6975
页数:11
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