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{{Infobox paper
{{Infobox paper
| title = The Kruskal-Szekeres ?Extension?: Counter-Examples
| title = The Kruskal-Szekeres "Extension": Counter-Examples
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5278.pdf Link to paper]
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5278.pdf Link to paper]
| author = [[Stephen John Crothers]]
| author = [[Stephen John Crothers]]
| keywords = black hole, singularity
| published = 2009
| published = 2009
| journal = [[Progress In Physics]]
| journal = [[Progress In Physics]]
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==Abstract==
==Abstract==


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.
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.


[[Category:Scientific Paper|kruskal-szekeres extension counter-examples]]
[[Category:Scientific Paper|kruskal-szekeres extension counter-examples]]

Latest revision as of 07:30, 21 July 2026

Scientific Paper
TitleThe Kruskal-Szekeres "Extension": Counter-Examples
Read in fullLink to paper
Author(s)Stephen John Crothers
Keywordsblack hole, singularity
Published2009
JournalProgress In Physics
No. of pages5

Read the full paper here

Abstract

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.