Curvature invariants in type N spacetimes
| dc.creator | Bicak, J. | |
| dc.creator | Pravda, V. | |
| dc.date | 1998-04-02 | |
| dc.date | 1998-04-14 | |
| dc.date.accessioned | 2026-07-07T11:46:25Z | |
| dc.date.available | 2026-07-07T11:46:25Z | |
| dc.description | Scalar curvature invariants are studied in type N solutions of vacuum Einstein's equations with in general non-vanishing cosmological constant Lambda. Zero-order invariants which include only the metric and Weyl (Riemann) tensor either vanish, or are constants depending on Lambda. Even all higher-order invariants containing covariant derivatives of the Weyl (Riemann) tensor are shown to be trivial if a type N spacetime admits a non-expanding and non-twisting null geodesic congruence. However, in the case of expanding type N spacetimes we discover a non-vanishing scalar invariant which is quartic in the second derivatives of the Riemann tensor. We use this invariant to demonstrate that both linearized and the third order type N twisting solutions recently discussed in literature contain singularities at large distances and thus cannot describe radiation fields outside bounded sources. | |
| dc.description | 17 pages, to appear in Class. Quantum Grav | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9804005 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9804005 | |
| dc.identifier | Class.Quant.Grav.15:1539-1555,1998 | |
| dc.identifier | doi:10.1088/0264-9381/15/6/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202222 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Curvature invariants in type N spacetimes | |
| dc.type | text |