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The Kruskal-Szekeres ?Extension?: Counter-Examples

Stephen John Crothers
Year: 2009 Pages: 5
The Kruskal-Szekeres ?coordinates? are said to ?extend? the so-called ?Schwarzschild solution?, to remove an alleged ?coordinate singularity? at the event horizon of a black hole at r = 2m, leaving an infinitely dense point-mass singularity at ?the origin? r = 0. However, the assumption that the point at the centre of spherical symmetry of the ?Schwarzschild solution? is at ?the origin? r = 0 is erroneous, and so the Kruskal- Szekeres ?extension? is invalid; demonstrated herein by simple counter-examples.