  We investigate the effects of an analytic boundary metric for smooth
asymptotically anti-de Sitter gravitational solutions. The boundary dynamics is
then completely determined by the initial data due to corner conditions that
all smooth solutions must obey. We perturb a number of familiar static
solutions and explore the boundary dynamics that results. We find evidence for
a nonlinear asymptotic instability of the planar black hole in four and six
dimensions. In four dimensions we find indications of at least exponential
growth, while in six dimensions, it appears that a singularity may form in
finite time on the boundary. This instability extends to pure AdS (at least in
the Poincare patch). For the class of perturbations we consider, there is no
sign of this instability in five dimensions.
