  We study the behavior of a scalar field under a z = 3 Lifshitz black hole
background, in a way that is non-minimally coupled to the gravitational field.
A general analytical solution is obtained along with two sets of quasinormal
modes associated to different boundary conditions that can be imposed on the
scalar field, non-minimal coupling parameter appears explicitly on these
solutions. Stability of quasinormal modes can be studied and ensured for both
cases. Also, the reflection and absorption coefficients are calculated, as well
as the absorption cross section which features an interesting behavior because
of being attenuated by terms strongly dependant on the non-minimal coupling. By
a suitable change of variables a soliton solution can also be obtained and the
stability of the quasinormal modes are studied and ensured.
