  Radial steady-state accretion of polytropic matter is investigated under
cylindrical symmetry in the Levi-Civita background metric. The model can be
considered as a cylindrical analog of Bondi accretion in strong gravitational
field. As a byproduct of this study, the issue of defining the line mass
density is addressed and the role of the metric free parameters is discussed on
the example of physical observables. The form of radial accretion equations is
insensitive to the structure of the interior solution. Accordingly, the
accretion solution analysis can be limited to a special Wilson form of
Levi-Civita metric describing a structureless homogeneous string.
