  We show that double-charged optical vortices can be generated with the help
of Kerr electrooptic effect in either single crystals or isotropic media,
including gaseous and liquid ones. We analyze possibilities for the vortex
generation via the Kerr effect for different point group of symmetry and
formulate the appropriate conditions. We prove that the crystals, textures and
the isotropic media most suitable for the generation of double-charged optical
vortices should belong to the symmetry groups 622, 6mm, 6/mmm, 6, 6/m, inf/m,
inf, inf 2, inf mm, inf/mmm, inf/inf/mmm, and inf/inf2.
