## The Kruskal-Szekeres "Extension": Counter-Examples

**Authors:** Stephen J. Crothers

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.

**Comments:** 5 pages.

**Download:** **PDF**

### Submission history

[v1] 3 Jan 2011

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