A note on geodesic connectedness of Gödel type spacetimes |
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Authors: | R Bartolo AM Candela JL Flores |
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Institution: | aDipartimento di Matematica, Politecnico di Bari, Via E. Orabona 4, 70125 Bari, Italy;bDipartimento di Matematica, Università degli Studi di Bari “A. Moro”, Via E. Orabona 4, 70125 Bari, Italy;cDepartamento de Álgebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, Campus Teatinos, 29071 Málaga, Spain |
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Abstract: | 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 study of geodesics in standard static spacetimes. Then, by using some known accurate results on the latter, we improve previous results on the former. |
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Keywords: | MSC: 53C50 53C22 58E10 |
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