Are there causal vacuum solutions with the symmetries of the Goedel universe in higher-derivative gravity

A globally causal vacuum solution with the symmetries of the Godel universe is obtained in the framework of higher derivative gravity. This very peculiar and rare result has no similar one in the standard general relativity. The Reboucas-Tiomno universe, i.e., the unique completely causal Goedel-type solution of Einstein's field equations with the algebraic Segre characteristics ((1,11)) is shown to be a special case of our solution. It is also shown that one model is an imbedding of the 3-D anti-de Litter universe in 4-D space-time.