A note on post-Riemannian structures of spacetime

Abstract

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 certain integral equation such that the connection is compatible with the metric. We point out that Megged's implicite definition of his metric $G_{\alpha \beta }$ is equivalent to the assumption of a vanishing nonmetricity. Thus his result turns out to be trivial.

3 pages, LaTeX, no figures, reply to gr-qc/9706068