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math.DG2011★ 1 cited
A note on geodesic connectedness of Gödel type spacetimes
R. Bartolo, A. M. Candela, J. L. Flores
In this note we reduce the problem of geodesic connectedness in a wide class of Gödel type spacetimes to the search of critical points of a functional naturally involved in the stu…
math.DG2006★ 2 cited
Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes
Anna Maria Candela, Jose' Luis Flores, Miguel Sanchez
In order to apply variational methods to the action functional for geodesics of a stationary spacetime, some hypotheses, useful to obtain classical Palais-Smale condition, are comm…