no. 1
Existence of geodesics for the Lorentz metric of a stationary gravitational field
Annales de l'I.H.P. Analyse non linéaire, Tome 7 (1990) no. 1, pp. 27-35 
@article{AIHPC_1990__7_1_27_0,
     author = {Benci, Vieri and Fortunato, Donato},
     title = {Existence of geodesics for the {Lorentz} metric of a stationary gravitational field},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {27--35},
     year = {1990},
     publisher = {Gauthier-Villars},
     volume = {7},
     number = {1},
     mrnumber = {1046082},
     zbl = {0697.58011},
     language = {en},
     url = {https://www.numdam.org/item/AIHPC_1990__7_1_27_0/}
}
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Benci, Vieri; Fortunato, Donato. Existence of geodesics for the Lorentz metric of a stationary gravitational field. Annales de l'I.H.P. Analyse non linéaire, Tome 7 (1990) no. 1, pp. 27-35. https://www.numdam.org/item/AIHPC_1990__7_1_27_0/

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