  We study the phenomenology associated to non-minimally coupled dark matter.
In particular, we consider the model where the non-minimal coupling arises from
the formation of relativistic Bose-Einstein condensates in high density regions
of dark matter [1]. This non-minimal coupling is of Horndeski type and leads to
a local modification of the speed of gravity with respect to the speed of
light. Therefore we can constrain the model by using the joint detection of
GW170817 and GRB170817A. We show that the constraints obtained in this way are
quite tight, if the dark matter field oscillates freely, whereas they are
substantially weakened, if the oscillations are damped by the non-minimal
coupling.
