Angular Momentum and Energy-Momentum Densities as Gauge Currents

Details Angular Momentum and Energy-Momentum Densities as Gauge Currents Angular Momentum and Energy-Momentum Densities as Gauge Currents

2002-01-23

arxiv.org/abs/gr-qc/0201076v3

Phys.Rev. D66 (2002) 044001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX4, 7 pages, no figures. Presentation changes; version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.044001

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.

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