  We explicitly construct static black hole solutions to the fully non-linear,
D=4, Einstein-Maxwell-AdS equations that have no continuous spatial symmetries.
These black holes have a smooth, topologically spherical horizon (section), but
without isometries, and approach, asymptotically, global AdS spacetime. They
are interpreted as bound states of a horizon with the Einstein-Maxwell-AdS
solitons recently discovered, for appropriate boundary data. In sharp contrast
with the uniqueness results for Minkowski electrovacuum, the existence of these
black holes shows that single, equilibrium, BH solutions in AdS-electrovacuum
admit an arbitrary multipole structure.
