Energy-momentum conservation in gravity theories

Journal Article · Sun May 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5173· OSTI ID:7069436

Bak, D; Cangemi, D; Jackiw, R ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

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.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 7069436
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENERGY-MOMENTUM TENSOR
CONSERVATION LAWS
QUANTUM GRAVITY
ACTION INTEGRAL
SYMMETRY
FIELD THEORIES
INTEGRALS
QUANTUM FIELD THEORY
TENSORS
661310* - Relativity & Gravitation- (1992-)