  We present a covariant study of static space-times, as such and as solutions
of gravity theories. By expressing the relevant tensors through the velocity
and the acceleration vectors that characterise static space-times, the field
equations provide a natural non-redundant set of scalar equations. The same
vectors suggest the form of a Faraday tensor, that is studied in itself and in
(non)-linear electrodynamics. In spherical symmetry, we evaluate the explicit
expressions of the Ricci, the Weyl, the Cotton and the Bach tensors. Simple
restrictions on the coefficients yield well known and new solutions in
Einstein, f(R), Cotton and Conformal gravity, with or without charges, in vacuo
or with fluid source.
