Metric-affine approach to teleparallel gravity

Yu. N. Obukhov and J. G. Pereira
Phys. Rev. D 67, 044016 – Published 27 February 2003
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Abstract

The teleparallel gravity theory, treated physically as a gauge theory of translations, naturally represents a particular case of the most general gauge-theoretic model based on the general affine group of spacetime. On the other hand, geometrically, the Weitzenböck spacetime of distant parallelism is a particular case of the general metric-affine spacetime manifold. These physical and geometrical facts offer a new approach to teleparallelism. We present a systematic treatment of teleparallel gravity within the framework of the metric-affine theory. The symmetries, conservation laws and the field equations are consistently derived, and the physical consequences are discussed in detail. We demonstrate that the so-called teleparallel GR-equivalent model has a number of attractive features which distinguishes it among the general teleparallel theories, although it has a consistency problem when dealing with spinning matter sources.

  • Received 2 December 2002

DOI:https://doi.org/10.1103/PhysRevD.67.044016

©2003 American Physical Society

Authors & Affiliations

Yu. N. Obukhov* and J. G. Pereira

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

  • *On leave from Department of Theoretical Physics, Moscow State University, 117234 Moscow, Russia.

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Vol. 67, Iss. 4 — 15 February 2003

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