Abstract

Some recent articles have proposed expanding and rotating fluids with the Krechet-Godel metric as cosmological models. The authors show that, allowing a time-dependent scale factor for cylindrical Lewis-type geometries, the rotating spin fluids of Ray-Smalley (1982) and of Ray-Smalley-Krisch (1987) cannot be expanding in the framework of general relativity. They also found that for a subclass of these metrics, both spin fluids yield three kinds of solutions: stationary, Friedman and de Sitter. With respect to Lewis-type stationary metrics, they have found that the Ray-Smalley spin fluid admits a stably causal inhomogeneous model with strong spin-vorticity coupling. The simplest solution given by the Ray-Smalley-Krisch spin fluid presents causality violation.

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