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arXiv · hep-th/9310025

Energy-Momentum Conservation in General Relativity

Dongsu Bak·D. Cangemi·R. Jackiw
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Abstract

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.

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Dongsu Bak, D. Cangemi, R. Jackiw. 1993-10-05. Energy-Momentum Conservation in General Relativity. https://doi.org/10.1103/physrevd.49.5173%2010.1103%2Fphysrevd.52.3753

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