In this talk I will discuss the impact of deformations of the CFT by a scalar
operator on the bulk geometry. Usually one focusses on the exterior, but during
my talk I will dive inside various black holes and discuss the changes to the
interior. The dynamics turns out to be rather intricate with even fractal-like
behaviour emerging. Furthermore, we will see that generically, Cauchy horizons
will be replaced by a spacelike singularity in the presence of a scalar
deformation. This motivates a notion of ‘holographic’ cosmic censorship. This
talk is based on 2004.01192, 2006.10056 and 2008.12786.