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Gravitational Energy-Momentum Density in Teleparallel Gravity

V. C. de Andrade·L. C. T. Guillen·J. G. Pereira
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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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V. C. de Andrade, L. C. T. Guillen, J. G. Pereira. 2000-03-27. Gravitational Energy-Momentum Density in Teleparallel Gravity. https://doi.org/10.1103/physrevlett.84.4533

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