  We compare cosmologic and spherically symmetric solutions to metric and
Palatini versions of vector Horndeski theory. It appears that Palatini
formulation of the theory admits more degrees of freedom. Specifically,
homogeneous isotropic configuration is effectively bimetric, and static
spherically symmetric configuration contains non-metric connection. In general,
the exact solution in metric case coincides with the approximative solution in
Palatini case. The Palatini version of the theory appears to be more
complicated, but the resulting non-linearity may be useful: we demonstrate that
it allows the specific cosmological solution to pass through singularity, which
is not possible in metric approach.
