  Geodesic observers in cosmology are revisited. The coordinates based on
freely falling observers introduced by Gautreau in de Sitter and Einstein-de
Sitter spaces (and, previously, by Gautreau and Hoffmann in Schwarzschild
space) are extended to general FLRW universes. We identify situations in which
the relation between geodesic and comoving coordinates can be expressed
explicitly in terms of elementary functions. In general, geodesic coordinates
in cosmology turn out to be rather cumbersome and limited to the region below
the apparent horizon.
