Answer

A. When you speak about “beyond,” you are assuming the existence of an infinite space of which our universe is a part. And then you ask what exists there outside the universe. But the universe is all of space, and there is no “beyond.”
B. Our logic has a hard time digesting such an idea—that space is bounded at some point and that there is nothing at all beyond it. We live within space and are used to thinking that way. See, for example, here:
https://davidson.weizmann.ac.il/online/askexpert/astrophysics/%D7%9E%D7%94%D7%99-%D7%91%D7%A2%D7%A6%D7%9D-%D7%94%D7%AA%D7%A4%D7%A9%D7%98%D7%95%D7%AA-%D7%94%D7%99%D7%A7%D7%95%D7%9D-%D7%94%D7%AA%D7%A4%D7%A9%D7%98%D7%95%D7%AA-%D7%90%D7%9C-%D7%AA%D7%95%D7%9A-%D7%9E%D7%94
C. I don’t know. Maybe you mean Gödel’s solution to Einstein’s field equations. That’s a technical matter. See here about the rotating universe (neither contracting nor expanding):
https://www.hamichlol.org.il/%D7%A7%D7%95%D7%A8%D7%98_%D7%92%D7%93%D7%9C