Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-04-20
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, changed to revtex style, extended discussion section, minor corrections
Scientific paper
10.1051/eas:0830034
The class of gravito-electric, algebraically general, rotating `silent' dust space-times is studied. The main invariant properties are deduced. The number $t_0$ of functionally independent zero-order Riemann invariants satisfies $1\leq t_0\leq 2$ and special attention is given to the subclass $t_0=1$. Whereas there are no $\Lambda$-term limits comprised in the class, the limit for vanishing vorticity leads to two previously derived irrotational dust families with $\Lambda>0$, and the shear-free limit is the G\"{o}del universe.
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