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On a Completely Antisymmetric Cartan Torsion Tensor

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arxiv gr-qc/0608090 v5 pith:SEGAHXLA submitted 2006-08-18 gr-qc hep-th

Luca Fabbri This is my paper · ORCID
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keywords antisymmetriccartancompletelytensortorsionantisymmetryapplicationcomplete
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We discuss the general structure of metric geometries, and how metricity implies the complete antisymmetry of Cartan tensor; an application in the frame of Lie group theory is given. Interpretations of the completely antisymmetric torsion in physical models are reviewed.

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  1. Singularity theorems and the inclusion of torsion in affine theories of gravity

    gr-qc 2019-08 accept novelty 7.0 of 10

    The authors prove new focusing and singularity theorems for Lorentzian manifolds with torsion, covering accelerated time-like and null curves, perfect fluids, and scalar fields.

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