A Petrov type I and generically asymmetric rotating dust family

Details A Petrov type I and generically asymmetric rotating dust family A Petrov type I and generically asymmetric rotating dust family

2008-01-30

arxiv.org/abs/0801.4766v2

Class.Quant.Grav.25:172001,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, irrotational limit case added, several minor errors corrected

Scientific paper

10.1088/0264-9381/25/17/172001

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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