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Metric-affine approach to teleparallel gravity

Obukhov, YN; Pereira, JG; (2003) Metric-affine approach to teleparallel gravity. PHYS REV D , 67 (4) , Article 044016. 10.1103/PhysRevD.67.044016.

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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 Weitzenbock 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.

Type:Article
Title:Metric-affine approach to teleparallel gravity
DOI:10.1103/PhysRevD.67.044016
Keywords:GENERAL-RELATIVITY, CONSERVATION-LAWS, INVARIANCE, TORSION, MODELS
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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