Geodesic
The Plane-Time in Which Paths of Inertional Motions Are Conics
Zbornik radova, Tome 4 (1984) no. 12, p. 113 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The Schwarzschild's solution gives, for 2-paths of particles, lines which are not conics. It gives, as a consequence, a precession efect. This paper is an attempt to find sucha metrics of the plane-time in the general theory of relataivity that 2-paths of particles be conics, without precessions. 
@article{ZR_1984_4_12_a12,
     author = {Marko D. Leko},
     title = {The {Plane-Time} in {Which} {Paths} of {Inertional} {Motions} {Are} {Conics}},
     journal = {Zbornik radova},
     pages = {113 },
     year = {1984},
     volume = {4},
     number = {12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZR_1984_4_12_a12/}
}
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Marko D. Leko. The Plane-Time in Which Paths of Inertional Motions Are Conics. Zbornik radova, Tome 4 (1984) no. 12, p. 113 . http://geodesic.mathdoc.fr/item/ZR_1984_4_12_a12/