Homogeneous space-time of Goedel type in higher-derivate gravity

A general theorem concerning any Goedel-type solution of higher-derivative gravity field equations, which may be produced by any reasonable physical source with a constant energy-momentum tensor, is analysed. The resulting class of metrics depends on two parameters, one of which is related to the vorticity. A general class of solutions of Goedel-type space-time-homogeneous universes in the context of the higher-derivative theory is exhibited. This is the most general higher-derivative solution of such type of metric and includes all known solutions of Einstein's equations related to these geometries as a special case. A number of completely causal rotating models is also obtained. Some of them present the interesting feature of having no analogous in the framework of general relativity.