ENERGY-MOMENTUM CONSERVATION IN GRAVITY THEORIES

被引:98
作者
BAK, D [1 ]
CANGEMI, D [1 ]
JACKIW, R [1 ]
机构
[1] MIT, DEPT PHYS, CAMBRIDGE, MA 02139 USA
来源
PHYSICAL REVIEW D | 1994年 / 49卷 / 10期
关键词
D O I
10.1103/PhysRevD.49.5173
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss general properties of the conservation law associated with, a local symmetry. Using Noether's theorem and a generalized Belinfante symmetrization procedure in 3+1 dimensions, a symmetric energy-momentum (pseudo) tensor for the gravitational Einstein-Hilbert action is derived and discussed in detail. In 2 + 1 dimensions, expressions are obtained for energy and angular momentum arising in the ISO(2,1) gauge-theoretical formulation of Einstein gravity. In addition, an expression for energy in a gauge-theoretical formulation of the string-inspired (1 + 1)-dimensional gravity is derived and compared with the ADM definition of energy.
引用
收藏
页码:5173 / 5181
页数:9
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