Elsevier, Nonlinear Analysis: Theory, Methods and Applications, 3(47), p. 1581-1592
DOI: 10.1016/s0362-546x(01)00292-9
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A suitable variational principle allows to study both the geodesic connectedness and the existence of periodic trajectories in a class of Gödel type spacetimes. A unified study of these two problems, with some technical improvements of a previous work, is carried out. On the contrary, a direct approach needs for the classical Gödel Universe.