On the validity of the 5-dimensional Birkhoff theorem The tale of an exceptional case /
The five-dimensional (5d) Birkhoff theorem gives the class of 5d vacuum spacetimes containing spatial hypersurfaces with cosmological symmetries. This theorem is violated by the 5d vacuum Gergely-Maartens (GM) spacetime, which is not a representant of the above class, but contains the static Einstei...
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| Dokumentumtípus: | Cikk |
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2008
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| Sorozat: | CLASSICAL AND QUANTUM GRAVITY
25 No. 16 |
| doi: | 10.1088/0264-9381/25/16/165016 |
| mtmt: | 1280873 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/7963 |
| Tartalmi kivonat: | The five-dimensional (5d) Birkhoff theorem gives the class of 5d vacuum spacetimes containing spatial hypersurfaces with cosmological symmetries. This theorem is violated by the 5d vacuum Gergely-Maartens (GM) spacetime, which is not a representant of the above class, but contains the static Einstein brane as embedded hypersurface. We prove that the 5d Birkhoff theorem is still satisfied in a weaker sense: the GM spacetime is related to the degenerated horizon metric of certain black hole spacetimes of the allowed class. This result resembles the connection between the Bertotti-Robinson spacetime and the horizon region of the extremal Reissner-Nordstrom spacetime in general relativity. © 2008 IOP Publishing Ltd. |
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| Terjedelem/Fizikai jellemzők: | Terjedelem: 12 p.-Azonosító: 165016 |
| ISSN: | 0264-9381 |