Algebraically general, gravito-electric rotating dust

Abstract

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 $Λ$-term limits comprised in the class, the limit for vanishing vorticity leads to two previously derived irrotational dust families with $Λ>0$, and the shear-free limit is the Gödel universe.

10 pages, changed to revtex style, extended discussion section, minor corrections