A note on post-Riemannian structures of spacetime

Details A note on post-Riemannian structures of spacetime A note on post-Riemannian structures of spacetime

1997-08-05

arxiv.org/abs/gr-qc/9708007v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

A four-dimensional differentiable manifold is given with an arbitrary linear connection $\Gamma_\alpha^\beta=\Gamma_{i\alpha}^\beta dx^i$. 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.

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