Moshe Rozali, Darren Smyth, Evgeny Sorkin, Jared B. Stang
We construct inhomogeneous asymptotically AdS black hole solutions corresponding to the spontaneous breaking of translational invariance and the formation of striped order in the boundary field theory. We find that the system undergoes a weak first order phase transition in both the fixed density and fixed chemical potential ensembles. The bulk solutions have striking geometrical features related to a magnetoelectric effect associated with the existence of a near horizon topological insulator. At low temperatures the horizon becomes highly inhomogeneous and tends to pinch off. Entropically and energetically, these solutions cannot serve as the end-state of the dynamical instability, which strongly suggests that a transition to a solution localized in the transverse direction is taking place, in a process that potentially violates the cosmic censorship conjecture.
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http://arxiv.org/abs/1211.5600
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