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  Is the Cauchy Horizon of Anti deSitter spacetime stable?

+ 2 like - 0 dislike

The AdS/Cft correspondance has kindle interest in anti-de Sitter and asymptotically AdS spacetimes which are non globally hyperbolic. That means Cauchy horizon forms in these spacetimes. Moreover, recent interest has been put in the stability at the classical level.

In 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:

Is the Cauchy horizon of Anti deSitter spacetime stable and what are the consequences for the AdS/Cft correspondance?

I have the idea, that strong cosmic censorship is not relevant for AdS spacetimes as they are not physical. Is this correct?

This post imported from StackExchange Physics at 2015-09-12 18:27 (UTC), posted by SE-user yess

asked Jun 30, 2015 in Theoretical Physics by yess (90 points) [ revision history ]
edited Sep 12, 2015 by Dilaton

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