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Gravitational Energy-Momentum Density in Teleparallel Gravity

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Abstract

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 Møller's canonical energy-momentum density of the gravitational field.

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English

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Physical Review Letters, v. 84, n. 20, p. 4533-4536, 2000.

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