Abstract
In this paper, we prove structure results on Gödel-type spacetimes, which we understand as stationary charged perfect fluid solutions of the Einstein–Maxwell equations with geodesic flow. Given in a standard product form, we investigate relations between the vorticity and the geometry of the fiber. For the four dimensional case in particular, we classify the Gödel-type spacetimes with constant vorticity scalar. We give a complete list of the solutions, which provides a generalization of an observation by Gödel, proved later by Ozsváth: The Gödel spacetime and Einstein’s static universe are the only stationary Λ -dust solutions of Einstein’s equations with positive energy density that are spatially homogeneous.
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