Fate of matter pulled into black hole

I was wondering what happens to all of the matter pulled into a black hole? Does it become a non-spacial, infinite massed, zero point without dimension or form, or does it become an astrnomically dense ball of matter the size of a baseball, or what?

It goes away.

No one knows for sure. Some theories say it gets squashed to a point; others that it becomes some sort of extremely dense exotic matter.

And this is the best answer anybody can offer. Once matter passes the event horizon no information about it can pass back into the rest of the Universe, and except for mass, rotational momentum, and charge, no information about its contribution to or internal configuration within the singularity can be determined.

Stranger

Some people have proposed exotic alternatives to the classic black hole picture, most of which have in common that matter goes right down to, but never quite over, the limit that would form an event horizon. Different candidates include Black Stars, Gravastars, and Fuzzballs

Do the theories of relativity make any predictions?

The only thing we can talk about with any certainty is what goes on outside of the event horizon. If we extrapolate what we know about the outside in the simplest way, we conclude that all of the matter gets infinitely compressed into a singularity at the center. If you throw in quantum gravity (hypothetically, since nobody knows how quantum gravity works yet), it may (or may not) work out that it’s all squeezed into some incredibly tiny but nonzero lump, presumably of a size somewhere in the vicinity of the Planck length. There are also some hypotheses that quantum gravity processes kick in quickly enough to prevent anything from ever crossing the event horizon, like the gravastars Lumpy mentioned, but those hypotheses are founded on little more than wishful thinking with no explanation of why physics should work that way or indication that it does, and generally cause more problems than they purport to solve.

Absolutely everything we can say about black holes is said in the context of general relativity. The extrapolation I mentioned at the start of the previous post is assuming that the relativistic equations take the same form inside as out.