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What would happen to an asteroid if we somehow increased gravity on it?

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The scenario is that an asteroid has been found and converted into a travelling interstellar space colony. Using some undefined future sci-fi tech, the occupants of the colony have increased gravity on the surface to roughly equal the gravity of earth.

What effects would this have on the asteroid? Would it crumble to dust? Reform into a compact sphere? Would anything happen?

I would prefer not to define the means of increasing gravity (mainly because I don't know them). Suffice it to say that there is probably some large machinery embedded in the center generating a sphere of artificial gravity somehow, or perhaps simply radiating gravity outwards. I would imagine that the size and shape of the asteroid would be a large factor though, so use Eros for any necessary calculations. Disregard for the moment how equal gravity would be achieved across such an uneven surface.

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