dorsal/arxiv
View SchemaDavid Hilbert and the origin of the "Schwarzschild solution"
| Authors | Salvatore Antoci |
|---|---|
| Categories | |
| ArXiv ID | physics/0310104 |
| URL | https://arxiv.org/abs/physics/0310104 |
| Journal | in "Meteorological and Geophysical Fluid Dynamics (a book to commemorate the centenary of the birth of Hans Ertel)", W. Schr\"oder Editor, Science Edition, Bremen, 2004 |
Abstract
The very early dismissal of Schwarzschild's original solution and manifold, and the rise, under Schwarzschild's name, of the inequivalent solution and manifold found instead by Hilbert, are scrutinised and commented upon, in the light of the subsequent occurrences. It is reminded that Hilbert's manifold suffers from two defects, that are absent in Schwarzschild's manifold. It does not admit a consistent drawing of the arrow of time, and it allows for an invariant, local, intrinsic singularity in its interior. The former defect is remedied by the change of topology of the extensions proposed by Synge, Kruskal and Szekeres. The latter persists unaffected in the extensions, since it is of local character.
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"abstract": "The very early dismissal of Schwarzschild\u0027s original solution and manifold,\nand the rise, under Schwarzschild\u0027s name, of the inequivalent solution and\nmanifold found instead by Hilbert, are scrutinised and commented upon, in the\nlight of the subsequent occurrences.\n It is reminded that Hilbert\u0027s manifold suffers from two defects, that are\nabsent in Schwarzschild\u0027s manifold. It does not admit a consistent drawing of\nthe arrow of time, and it allows for an invariant, local, intrinsic singularity\nin its interior. The former defect is remedied by the change of topology of the\nextensions proposed by Synge, Kruskal and Szekeres. The latter persists\nunaffected in the extensions, since it is of local character.",
"arxiv_id": "physics/0310104",
"authors": [
"Salvatore Antoci"
],
"categories": [
"physics.hist-ph",
"gr-qc"
],
"journal_ref": "in \"Meteorological and Geophysical Fluid Dynamics (a book to\n commemorate the centenary of the birth of Hans Ertel)\", W. Schr\\\"oder Editor,\n Science Edition, Bremen, 2004",
"title": "David Hilbert and the origin of the \"Schwarzschild solution\"",
"url": "https://arxiv.org/abs/physics/0310104"
},
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