Nonzero Connection Fields with Zero Curvature Fields
OK what does in mean say for there to be a non-zero connection field with zero curvature field? How does that differ from a Minkowski spacetime? It would mean LNIF observers would have to fire their rockets in order to keep a fixed distance from the vacuum wall source. That is different from a sourceless Minkowski spacetime without the vacuum wall below, so that firing rockets will not keep the observers at a fixed distance from some marker. That's the situation below for the hovering LNIF Rindler observers that are like the "shell frame" observers outside the event horizon of a non-rotating black hole.