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| Content Provider | Scientific Electronic Library Online (SciELO) |
|---|---|
| Author | Fonseca-Neto, J. B. Romero, C. Dahia, F. |
| Abstract | We discuss Gödel's universe in the context of the induced-matter theory. We show that the problem of generating Gödel's metric from an extra dimension is equivalent to finding an embedding of Gödel's universe in a Ricci-flat five-dimensional space. On the other hand, according to the Campbell-Magaard theorem, any spacetime can be locally embedded into a five-dimensional pseudo-Riemannian Ricci-flat manifold. We obtain explicitly a global embedding of Gödel's universe which is Ricci-flat and has a non-Lorentzian signature of type (++---). |
| Related Links | http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0103-97332005000700013&lng=en&nrm=iso http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332005000700013&lng=en&nrm=iso |
| Starting Page | 1067 |
| Ending Page | 1069 |
| Page Count | 3 |
| File Format | |
| ISSN | 01039733 |
| DOI | 10.1590/S0103-97332005000700013 |
| Journal | Brazilian Journal of Physics |
| Issue Number | 4b |
| Volume Number | 35 |
| Language | English |
| Publisher | Sociedade Brasileira de Física |
| Publisher Date | 2005-12-01 |
| Publisher Institution | Universidade Federal da Paraíba Departamento de Física Universidade Federal de Campina Grande Departamento de Física |
| Publisher Place | Brazil |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy |
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