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AdS not globally hyperbolic

  1. Apr 3, 2012 #1
    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..
  2. jcsd
  3. Apr 3, 2012 #2


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    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.
  4. Apr 3, 2012 #3

    George Jones

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    Have a look at Hawking and Ellis.
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