  A holographic field theory on a fixed black hole background has a
gravitational dual represented by a black funnel or a black droplet. These
states are "detuned" when the temperature of the field theory near the horizon
does not match the temperature of the background black hole. In particular, the
gravitational dual to the Boulware state must be a detuned solution. We
construct detuned droplets and funnels dual to a Schwarzschild background and
show that the Boulware phase is represented by a droplet. We also construct
hairy black droplets associated to a low-temperature scalar condensation
instability and show that they are thermodynamically preferred to their
hairless counterparts.
