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Jul 9, 2021 at 0:51 comment added Vincent Thacker @AbuSafwan According to my understanding, the first reason, spacetime curvature, is called gravity, while the second reason, choice of coordinates, is called "fictitious forces". However, both effects are encoded in the Christoffel symbols so it is hard to distinguish them from the symbols alone.
Jul 9, 2021 at 0:45 comment added Vincent Thacker @AbuSafwan (1) In flat (Minkowski) spacetime, there is nothing stopping you from choosing coordinates with fictitious forces. The catch is that you can always choose a frame where inertial laws hold everywhere and at all times. (2) However, in curved spacetime, you can only choose an inertial frame at one point in spacetime. This means not only one point in space, but also one point in time. The key point is that in curved spacetime, non-proper acceleration arise because of two reasons: spacetime curvature and choice of coordinates, which is explained in J. Murray's answer.
Jul 8, 2021 at 16:13 vote accept tryingtobeastoic
Jul 9, 2021 at 9:07
Jul 8, 2021 at 15:57 comment added gandalf61 @AbuSafwan Maybe Wikipedia is talking locally, whereas Vincent is talking globally.
Jul 8, 2021 at 15:43 comment added tryingtobeastoic So, @VincentThacker is right and the Wikipedia article is wrong?
Jul 8, 2021 at 15:41 history answered gandalf61 CC BY-SA 4.0