  We construct an exact time-dependent charged dilaton C-metric in
four-dimensional ${\cal N}=4$ gauged supergravity. The scalar field drives the
time evolution by transferring energy to the black holes, thereby causing their
masses to increase and their acceleration to decrease. The values of the
electric/magnetic and scalar charges determine three regions of potential time
evolution. This solution holographically describes a strongly-coupled
three-dimensional conformal field theory on the background of an evolving black
hole. We also find new static charged dilaton C-metrics, which arise in
four-dimensional Einstein-Maxwell-dilaton theories whose scalar potential can
be expressed in terms of a superpotential.
