Anyone here fluent in General Relativity? And brave enough to read through my weird derivation below.
TL;DR: The coefficients of the metric tensor depend on the choice of coordinate system. So the values are "meaningless" (not invariant). I stumbled over the "coordinate speed of light" and now can't decide whether it is invariant or not. The derivation on the linked page (mine) seems to suggest it is. But 🤷 ?