Figure 1

Examples of marginally stable modes in an asymptotically ${\mathrm{AdS}}_4$ geometry.Reuse & Permissions

Figure 2

The Penrose diagram of a static black hole horizon. Each point in the regions on the right and the top represents a two-dimensional slice at constant $t$ and $r$ of the metric (5). The other two regions arise from continuing the metric to a spacetime whose only failures to be geodesically complete arise from curvature singularities. The region on the right connects to asymptotic infinity and corresponds to $r>r_H$. Contours of constant $t$ are shown in this region.Reuse & Permissions