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In the 1916 coordinates, r=0 is not the central singularity, but is the event horizon. The region [itex]r \geq 0[/itex] in the original coordinates is the region [itex]r \geq r_s[/itex] in the modern coordinates.What about a Black Hole event horizon? In g(1916), [itex]R=r_s[/itex] only when the Euclidean distance [itex]r=0[/itex], that is, at the central singularity itself.