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2022

Almost all extremal black holes in AdS are singular

Horowitz, Gary T., Kolanowski, Maciej, Santos, Jorge E.

Understand

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole.

When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this singularity is stronger for larger black holes.
In particular, this applies to generic nonspherical black holes, such as those satisfying inhomogeneous boundary conditions.
Nevertheless, all scalar curvature invariants remain finite.