  We study a theory of gravity in which the action is a result from the general
purely disformal transformation on the Einstein-Hilbert action. This theory is
a sub-class of GLPV theory which is the the generalization of covariant
Galileon. Nevertheless, we find that the self accelerating solution for the
background universe disappears in this theory. We also find that, for this
theory, the Vainshtein mechanism is absent. However, the Vainshtein mechanism
is not necessary for this theory, because this theory can nearly mimic the
Einstein theory of gravity at all scales inside the Huble radius without this
mechanism.
