Newman-Penrose formalism in higher dimensions: vacuum spacetimes with a non-twisting geodetic multiple Weyl aligned null direction
| dc.creator | Pravdova, Alena | |
| dc.creator | Pravda, Vojtech | |
| dc.date | 2008-06-15 | |
| dc.date | 2008-11-03 | |
| dc.date.accessioned | 2026-07-07T12:14:44Z | |
| dc.date.available | 2026-07-07T12:14:44Z | |
| dc.description | Vacuum spacetimes admitting a non-twisting geodetic multiple Weyl aligned null direction (WAND) are analyzed in arbitrary dimension using recently developed higher-dimensional Newman-Penrose (NP) formalism. We determine dependence of the metric and of the Weyl tensor on the affine parameter r along null geodesics generated by the WAND for type III and N spacetimes and for a special class of type II and D spacetimes, containing e.g. Schwarzschild-Tangherlini black holes and black strings and branes. For types III and N, all metric components are at most quadratic polynomials in r while for types II and D the r-dependence of the metric as well as of the Weyl tensor is determined by an integer m corresponding to the rank of the expansion matrix S_{ij}. It is shown that for non-vanishing expansion, all these spacetimes contain a curvature singularity. As an illustrative example, a shearing expanding type N five-dimensional vacuum solution is also re-derived using higher-dimensional NP formalism. This solution can be, however, identified with a direct product of a known four-dimensional type N metric with an extra dimension. | |
| dc.description | 25 pages, version to be published in Class. Quantum Grav. (expanded -background material included, 3 references added, small change in notation) | |
| dc.identifier | https://arxiv.org/abs/0806.2423 | |
| dc.identifier | http://arxiv.org/abs/0806.2423 | |
| dc.identifier | Class.Quant.Grav.25:235008,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/23/235008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211296 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Newman-Penrose formalism in higher dimensions: vacuum spacetimes with a non-twisting geodetic multiple Weyl aligned null direction | |
| dc.type | text |