- #1
oldman
- 633
- 5
As I understand it, Riemannian geometry doesn't allow Torsion (a property of geometry involving certain permutations among the indices of Christoffel Symbols). Does this restrict the geometry of General Relativity (GR) to describing only a curved spacetime with the Riemann curvature tensor? Is curvature distinct from a distortion that involves say shear, as in an elastically or plastically deformed solid? If so, why is GR so restricted?