Gravitational Energy-Momentum Density in Teleparallel Gravity

Details Gravitational Energy-Momentum Density in Teleparallel Gravity Gravitational Energy-Momentum Density in Teleparallel Gravity

2000-03-27

arxiv.org/abs/gr-qc/0003100v1

Phys.Rev.Lett. 84 (2000) 4533-4536

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

RevTeX, 4 pages, no figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.4533

In the context of a gauge theory for the translation group, a conserved energy-momentum gauge current for the gravitational field is obtained. It is a true spacetime and gauge tensor, and transforms covariantly under global Lorentz transformations. By rewriting the gauge gravitational field equation in a purely spacetime form, it becomes the teleparallel equivalent of Einstein's equation, and the gauge current reduces to the M{\o}ller's canonical energy-momentum density of the gravitational field.

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