A Petrov type I and generically asymmetric rotating dust family
General Relativity and Quantum Cosmology
2008-11-26 v2
Abstract
The 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.
Cite
@article{arxiv.0801.4766,
title = {A Petrov type I and generically asymmetric rotating dust family},
author = {Lode Wylleman},
journal= {arXiv preprint arXiv:0801.4766},
year = {2008}
}
Comments
7 pages, irrotational limit case added, several minor errors corrected