A note on post-Riemannian structures of spacetime

Friedrich W. Hehl, Uwe Muench

A four-dimensional differentiable manifold is given with an arbitrary linear connection ${\Gamma }_{\alpha }^{\beta }={\Gamma }_{i\alpha }^{\beta }d{x}^i$. Megged has claimed that he can define a metric $G_{\alpha \beta }$ by means of a…