Gauge/gravity duality relates certain strongly coupled CFTs with large effective central charge to semi-classical gravitational theories with AdS asymptotics. I will describe recent progress in understanding gravity duals for CFTs on non-trivial spacetimes with black hole horizons. Such gravity methods provide powerful new tools to access the physics of these strongly coupled theories, which often differs qualitatively from that found at weak coupling. I will then use some of the intuition gather from these studies to motivate the existence of static black holes in Randall-Sundrum II braneworlds. If time permits, I will discuss some of its properties such as dynamical stability.

Reading material: arXiv:1104.4489, arXiv:1105.2558, arXiv:1208.6291, arXiv:1212.4820, arXiv:1405.2078, arXiv:1604.04832