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For neutrons to be stable they need to be in a minimum spherical mass of around 0.09 solar masses.
If we could make a 0.09 mass of neutron star material we could just park it next to a star, and the neutron star would attract the material from it with gravity, and add the material to its own mass to increase in size, and collapse into a black hole.
Are there any other reasons stopping this from working.
I understand that finding a black hole you could (in theory) use for more interesting time travel requires some singularly unlikely events, like locating a "naked singularity".