Gödel's Universe and Induced-Matter Theory
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedade Brasileira de Física
2005
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| _version_ | 1876487669949661184 |
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| author | J. B. Fonseca-Neto |
| author_facet | J. B. Fonseca-Neto |
| contents | Gödel's Universe and Induced-Matter Theory J. B. Fonseca-Neto C. Romero F. Dahia Física, Astronomía y Matemáticas We discuss G¨odels universe in the context of the induced-matter theory. We show that the problem ofgenerating G¨odels metric from an extra dimension is equivalent to finding an embedding of G¨odels universein a Ricci-flat five-dimensional space. On the other hand, according to the Campbell-Magaard theorem, anyspacetime can be locally embedded into a five-dimensional pseudo-Riemannian Ricci-flat manifold. We obtainexplicitly a global embedding of G¨odels universe which is Ricci-flat and has a non-Lorentzian signature of type(++¡¡¡). 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435713 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4B Vol.35 |
| format | Artículo científico |
| id | redalyc_46435713 |
| institution | Redalyc |
| language | en |
| publishDate | 2005 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Gödel's Universe and Induced-Matter Theory J. B. Fonseca-Neto Física, Astronomía y Matemáticas Gödel's Universe and Induced-Matter Theory J. B. Fonseca-Neto C. Romero F. Dahia Física, Astronomía y Matemáticas We discuss G¨odels universe in the context of the induced-matter theory. We show that the problem ofgenerating G¨odels metric from an extra dimension is equivalent to finding an embedding of G¨odels universein a Ricci-flat five-dimensional space. On the other hand, according to the Campbell-Magaard theorem, anyspacetime can be locally embedded into a five-dimensional pseudo-Riemannian Ricci-flat manifold. We obtainexplicitly a global embedding of G¨odels universe which is Ricci-flat and has a non-Lorentzian signature of type(++¡¡¡). 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435713 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4B Vol.35 |
| title | Gödel's Universe and Induced-Matter Theory |
| topic | Física, Astronomía y Matemáticas |
| url | https://www.redalyc.org/articulo.oa?id=46435713 |