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.
On a Completely Antisymmetric Cartan Torsion Tensor
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abstract
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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Singularity theorems and the inclusion of torsion in affine theories of gravity
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.