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

页码：5173 / 5181

页数：9

共 28 条

[1]

AGUIRREGABIRIA JM, GEN RELAT GRAVIT, V28, P1393

[2] DYNAMICAL STRUCTURE AND DEFINITION OF ENERGY IN GENERAL RELATIVITY [J].