Spacetime Torsion

Antisymmetric part of an affine connection: a tensor that measures the twisting of frames and extends general relativity when coupled to spin.

Specifications & Metrics

In differential geometry, the torsion tensor is a tensor associated to any affine connection.
It is antisymmetric in its lower indices, complementary to the symmetric curvature of the connection.
Setting torsion to zero recovers the Levi-Civita connection of Riemannian geometry, the one used in general relativity.