A Petrov type I and generically asymmetric rotating dust family

dc.creatorWylleman, Lode
dc.date2008-01-30
dc.date2008-06-17
dc.date.accessioned2026-07-07T11:55:44Z
dc.date.available2026-07-07T11:55:44Z
dc.descriptionThe general line element corresponding to the family of algebraically general, gravito-electric, expanding, rotating dust models with one functionally independent zero-order Riemann invariant is constructed. The isometry group is at most one-dimensional but generically trivial. It is shown that the asymmetric solutions with constant ratio of energy density and vorticity amplitude provide first examples of Petrov type I space-times for which the Karlhede classification requires the computation of the third covariant derivative of the Riemann tensor.
dc.description7 pages, irrotational limit case added, several minor errors corrected
dc.identifierhttps://arxiv.org/abs/0801.4766
dc.identifierhttp://arxiv.org/abs/0801.4766
dc.identifierClass.Quant.Grav.25:172001,2008
dc.identifierdoi:10.1088/0264-9381/25/17/172001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205342
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA Petrov type I and generically asymmetric rotating dust family
dc.typetext

Files

Collections