On a Completely Antisymmetric Cartan Torsion Tensor

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.

11 pages

References in corpus (6)

• Einstein-Cartan Theory
• Canonical structure of 3D gravity with torsion
• General Relativity with Torsion
• Totally Asymmetric Torsion on Riemann-Cartan Manifold
• Poincare gauge gravity: selected topics
• Gravity as Nonmetricity: General Relativity in Metric-Affine Space (Ln,g)

Cited by in corpus (3)

• Singularity theorems and the inclusion of torsion in affine theories of gravity
• Locally Inertial Reference Frames in Lorentzian and Riemann-Cartan Spacetimes
• On Possible Light-Torsion Mixing in Background Magnetic Field