Angular momentum and energy-momentum densities as gauge currents
Abstract
If we replace the general spacetime group of diffeomorphisms by transformations taking place in the tangent space, general relativity can be interpreted as a gauge theory, and in particular as a gauge theory for the Lorentz group. In this context, it is shown that the angular momentum and the energy-momentum tensors of a general matter field can be obtained from the invariance of the corresponding action integral under transformations taking place, not in spacetime, but in the tangent space, in which case they can be considered as gauge currents.
- Publication:
-
Physical Review D
- Pub Date:
- August 2002
- DOI:
- arXiv:
- arXiv:gr-qc/0201076
- Bibcode:
- 2002PhRvD..66d4001C
- Keywords:
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- 04.20.Cv;
- 11.30.Cp;
- Fundamental problems and general formalism;
- Lorentz and Poincare invariance;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- RevTeX4, 7 pages, no figures. Presentation changes