Metric-affine approach to teleparallel gravity
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2003-01-01
Autores
Obukhov, Yu. N. [UNESP]
Pereira, J. G. [UNESP]
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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. © 2003 The American Physical Society.
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Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 67, n. 4, 2003.