Higher dimensional spacetimes with a geodesic, shearfree, twistfree and expanding null congruence
| dc.creator | Ortaggio, Marcello | |
| dc.date | 2007-01-05 | |
| dc.date | 2007-08-30 | |
| dc.date.accessioned | 2026-07-07T08:26:29Z | |
| dc.date.available | 2026-07-07T08:26:29Z | |
| dc.description | We present the complete family of higher dimensional spacetimes that admit a geodesic, shearfree, twistfree and expanding null congruence, thus extending the well-known D=4 class of Robinson-Trautman solutions. Einstein's equations are solved for empty space with an arbitrary cosmological constant and for aligned pure radiation. Main differences with respect to the D=4 case (such as the absence of type III/N solutions, related to ``violations'' of the Goldberg-Sachs theorem in D>4) are pointed out, also in connection with other recent works. A formal analogy with electromagnetic fields is briefly discussed in an appendix, where we demonstrate that multiple principal null directions of null Maxwell fields are necessarily geodesic, and that in D>4 they are also shearing if expanding. | |
| dc.description | 1+12 pages. Proceedings of the XVII SIGRAV Conference, Turin, September 4--7, 2006. v2: minor changes | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0701036 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0701036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136956 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Higher dimensional spacetimes with a geodesic, shearfree, twistfree and expanding null congruence | |
| dc.type | text |