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We investigate the effects of an analytic boundary metric for smoothasymptotically anti-de Sitter gravitational solutions. The boundary dynamics isthen completely determined by the initial data due to corner conditions thatall smooth solutions must obey. We perturb a number of familiar staticsolutions and explore the boundary dynamics that results. We find evidence fora nonlinear asymptotic instability of the planar black hole in four and sixdimensions. In four dimensions we find indications of at least exponentialgrowth, while in six dimensions, it appears that a singularity may form infinite time on the boundary. This instability extends to pure AdS (at least inthe Poincare patch). For the class of perturbations we consider, there is nosign of this instability in five dimensions.

Consequences of Analytic Boundary Conditions in AdS