# Is the Cauchy Horizon of Anti deSitter spacetime stable?

+ 2 like - 0 dislike
256 views

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

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysics$\varnothing$verflowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.