1993/10/05 by Dongsu Bak, D. Cangemi, R. Jackiw · 3 citations
Mathematics · Physics and Astronomy · #Angular momentum #Angular momentum coupling #Angular momentum operator #Black Holes and Theoretical Physics #Classical mechanics #Conservation law #Cosmology and Gravitation Theories #Einstein #Exact solutions in general relativity #Geometry #Lagrangian #Mathematical physics #Mathematics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Stress–energy tensor #Symmetrization #Symmetry (geometry) #Tensor (intrinsic definition) #Theoretical physics #Total angular momentum quantum number #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.49.5173
published as Phys.Rev.D49:5173-5181,1994; Erratum-ibid.D52:3753,1995 · 18 pages in Plain TeX, MIT-CTP-2245
arxiv created 1993/10/05 · openalex publication_date 1994/05/15 · arxiv updated 2014/11/17 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28
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.