Can Curving a Space-Cone Create a Black Hole?

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require so much energy that the density of the energy - i.e., its mass equivalent - must always create a black hole? I was watching a video by Sean Carroll describe how this is *theoretically* possible, but obviously catastrophic.
 
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Please provide a link to the video and a timestamp for where Carroll talks about this. Better yet, a paper or textbook reference. Without a reference it's difficult to tell if you are describing something I understand but using unusual terminology, or describing something I can't help with.
 
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Here is where he discusses it:

 
Carroll seems to be talking about spacetimes containing closed timelike curves. I don't think we know a way to create them, even in principle. They are pre-existing features of some spacetimes.

As far as I'm aware, it's a case of "can't get there from here". We can describe spacetimes containing CTCs. We can describe our spacetime. We don't know a way to describe something that starts looking like our universe but later on has a CTC in it. It may well be impossible to do so.