Phys. Rev. D 49, 5173–5181 (1994)Energy-momentum conservation in gravity theoriesSee Also: Erratum Received 20 December 1993; published in the issue dated 15 May 1994 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. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.5173
DOI:
10.1103/PhysRevD.49.5173
PACS:
04.25.Nx, 04.20.Cv, 04.20.Fy
See AlsoErratum: Dongsu Bak, D. Cangemi, and R. Jackiw, Erratum: Energy-momentum conservation in gravity theories [Phys. Rev. D 49, 5173 (1994)], Phys. Rev. D 52, 3753 (1995). |
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