Conformal symmetry of perfect fluids in general relativity
Rigidly rotating perfect fluids admitting two Killing vectors ξ (stationarity), η (axial symmetry), and a proper conformal Killing vector K are studied. The three‐dimensional Lie algebra [ξ,η]=0, [ξ,K]=a 4 K, [η,K]=a 3 K, a 3 2+a 4 2≠0 is considered. It is shown that under these assumptions there ar...
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| Veröffentlicht in: | Journal of mathematical physics 1991-07, Vol.32 (7), p.1857-1860 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Rigidly rotating perfect fluids admitting two Killing vectors ξ (stationarity), η (axial symmetry), and a proper conformal Killing vector K are studied. The three‐dimensional Lie algebra [ξ,η]=0, [ξ,K]=a
4
K, [η,K]=a
3
K, a
3
2+a
4
2≠0 is considered. It is shown that under these assumptions there are no space‐times satisfying Einstein’s field equations. |
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| ISSN: | 0022-2488 1089-7658 |
| DOI: | 10.1063/1.529250 |