  We study classical scalar fields in asymptotically Lifshitz spacetimes. By
evading Derrick's theorem requiring the scalar potential to explicitly depend
on the background coordinates, we induce a diffeomorphism invariance breaking
and settle a first-order formalism to find spatially localized solutions in the
probe field limit. By inserting a backreaction equipped with a cosmological
constant and a Maxwell term coupled to a dielectric function in the model, we
find a Lifshitz black hole solution.
