Elsevier, Differential Geometry and its Applications, 2(12), p. 105-120, 2000
DOI: 10.1016/s0926-2245(99)00039-x
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In this paper we use a variational approach in order to prove the geodesic connectedness of some Gödel type space-times; moreover direct methods allow to prove the geodesic connectedness of the Gödel Universe. At last a result of geodesic completeness is given.