Geodesic
The World Lines of Isotropic Expansion in the De Sitter Universe
Publications of the Department of Astronomy, Tome 12 (1983) no. 1 
I. Lukavčević. The World Lines of Isotropic Expansion in the De Sitter Universe. Publications of the Department of Astronomy, Tome 12 (1983) no. 1. http://geodesic.mathdoc.fr/item/PDA_1983_12_1_a2/
@article{PDA_1983_12_1_a2,
     author = {I. Lukav\v{c}evi\'c},
     title = {The {World} {Lines} of {Isotropic} {Expansion} in the {De} {Sitter} {Universe}},
     journal = {Publications of the Department of Astronomy},
     pages = {19 - 25},
     year = {1983},
     volume = {12},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/PDA_1983_12_1_a2/}
}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The well-known Lemaitre coordinate transformation in de Sitter's spacetime, leading to an expanding Euclidean spatial metric, is obtained here as a particular case in a family of transformations. These transformations lead to non-geodesic radial world lines (except ,in the Lemaitre case) of isotropic expansion, with determined consequences for the metric and the acceleration of particles on them.