  We derive the relativistic generalization of the Galileon, by studying the
brane position modulus of a relativistic probe brane embedded in a five-
dimensional bulk. In the appropriate Galilean contraction limit, we recover the
complete Galileon generalization of the DGP decoupling theory and its conformal
extension. All higher order interactions for the Galileon and its relativistic
generalization naturally follow from the brane tension, induced curvature, and
the Gibbons-Hawking-York boundary terms associated with all bulk Lovelock
invariants. Our approach makes the coupling to gravity straightforward, in
particular allowing a simple rederivation of the nonmini- mal couplings
required by the Covariant Galileon. The connection with the Lovelock invariants
makes the well-defined Cauchy problem manifest, and gives a natural unification
of four dimensional effective field theories of the DBI type and the Galileon
type.
