'Closed timelike curve' is the jargon for time travel. It means you go out, come back and meet yourself in the past.
A big misconception is that a black hole is made of matter that has just been compacted to a very small size. That's not true. A black hole is made from warped space and time.
If you have a wormhole, then you can turn them into time machines for going backward in time.
I became interested in this question of whether you can build wormholes for interstellar travel. I realized that if you had a wormhole, the theory of general relativity by itself would permit you to go backward in time.
It was quite a surprise when I realized that with a single wormhole you could have time hook up towards the future or towards the past and that you can actually manipulate the wormhole and change how time hooked up.
We have to have a combination of general relativity that describes the warping of space and time, and quantum physics, which describes the uncertainties in that warping and how they change.