Understanding AdS Global Hyperbolicity: Insights from Hawking and Ellis

[LAHLH]

Is there an easy way to see this? can it be see via the penrose diagram? does it have anything to do with how when a stone is thrown in AdS it will alwayscome backk in finite time..

 

[Matterwave]

I'm not familiar with AdS spaces, but according to the Wikipedia page, it says that these spaces have closed time-like curves. Any manifold with closed time-like curves cannot be globally hyperbolic.

 

[George Jones]

Have a look at Hawking and Ellis.