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arXiv · 0801.4766

A Petrov type I and generically asymmetric rotating dust family

Lode Wylleman
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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.

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Lode Wylleman. 2008-06-17. A Petrov type I and generically asymmetric rotating dust family. https://doi.org/10.1088/0264-9381%2F25%2F17%2F172001

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