# Do we $\textit{need}$ to use a torsion-less connection(Riemann-Levi Civita) in General Relativity?

While learning General Relativity, we always use the Levi-Civita connection, which has the special property of being torsion-less.
My question is: Do we need to use a torsion-less connection to study General Relativity? If so, why is it essential? What does a torsion-full connection change physics-wise?

Extra: Are there any models in theoretical physics that use torsion-full connections?

• – Qmechanic Oct 30 '17 at 15:28