Metric-affine approach to teleparallel gravity
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 Weitzenboeck 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 the teleparallelism. We present a systematic treatment of the 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.
Cite
@article{arxiv.gr-qc/0212080,
title = {Metric-affine approach to teleparallel gravity},
author = {Yu. N. Obukhov and J. G. Pereira},
journal= {arXiv preprint arXiv:gr-qc/0212080},
year = {2009}
}
Comments
Revtex4, 22 pages, no figures. Accepted for publication in Phys. Rev. D