The dynamics of generalized Palatini Theories of Gravity
  It is known that in f(R) theories of gravity with an independent connection
which can be both non-metric and non symmetric, this connection can always be
algebraically eliminated in favour of the metric and the matter fields, so long
as it is not coupled to the matter explicitly. We show here that this is a
special characteristic of f(R) actions, and it is not true for actions that
include other curvature invariants. This contradicts some recent claims in the
literature. We clarify the reasons of this contradiction.
