Geometric classification of the torsion tensor of space-time

@article{Capozziello2001GeometricCO,
  title={Geometric classification of the torsion tensor of space-time},
  author={Salvatore Capozziello and Gaetano Lambiase and Cosimo Stornaiolo},
  journal={Annalen der Physik},
  year={2001},
  volume={10},
  pages={713-727}
}
Torsion appears in literature in quite different forms. Generally, spin is considered to be the source of torsion, but there are several other possibilities in which torsion emerges in different contexts. In some cases a phenomenological counterpart is absent, in some other cases torsion arises from sources without spin as a gradient of a scalar field. Accordingly, we propose two classification schemes. The firstone is based on the possibility to construct torsion tensors from the product of a… 

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