Gravitational Energy-Momentum Density in Teleparallel Gravity

V. C. de Andrade, L. C. T. Guillen, and J. G. Pereira
Phys. Rev. Lett. 84, 4533 – Published 15 May 2000
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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.

  • Received 8 December 1999

DOI:https://doi.org/10.1103/PhysRevLett.84.4533

©2000 American Physical Society

Authors & Affiliations

V. C. de Andrade, L. C. T. Guillen, and J. G. Pereira

  • Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo SP, Brazil

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Vol. 84, Iss. 20 — 15 May 2000

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