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Phys. Rev. Lett. 84, 4533–4536 (2000)

Gravitational Energy-Momentum Density in Teleparallel Gravity

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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

Received 8 December 1999; published in the issue dated 15 May 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.4533
DOI:
10.1103/PhysRevLett.84.4533
PACS:
04.50.+h