The AdS/CFT correspondence has kindled interest in anti-de Sitter and asymptotically AdS spacetimes which are non-globally hyperbolic. That means a Cauchy horizon forms in these spacetimes. Moreover, recent interest has been put in the stability at the classical level.
On the other hand the Cosmic Censorship Conjecture are two mathematical conjectures about the structure of spacetime.
In particular, the so-called Strong Cosmic Conjecture asserts heuristically that generically, general relativity is a deterministic theory, in the same sense that classical mechanics is a deterministic theory. In other words, the classical fate of all observers should be predictable from suitable initial data.
A lot of work has been done in relevant physical spacetimes which assumes that spacetime must be asymptotically flat and in the case of Cauchy horizons forming inside black holes. See this for an example.
My questions are:
Using the AdS/CFT correspondence, does the horizon is reflected somehow in the dual CFT?
Is the Cauchy horizon of anti-de Sitter spacetime stable?