Q&A: Cosmology

Q:
If there is a black hole in the center of our Universe, wouldn't the Sun get sucked in to the black hole?

A:
There isn't actually a "center of the Universe" because the Universe is expanding outward in all directions uniformly. You can see this by thinking of a Universe which consists of ants living on the surface of a balloon. As the balloon is blown up, the ant Universe expands but they would not be able to point to a "center" of their space. Our Universe has 3 dimensions of space, not 2 like the surface of the balloon, but the situation is analogous (although much harder to imagine!).

But we do believe, from very careful experimental data, that there is a supermassive black hole in the center of our galaxy. And the answer is no, we will not get pulled into it. The full answer to your question may be found in the Q&A section of the Chandra website:
http://chandra.harvard.edu/resources/faq/black_hole/bhole-70.html
The second paragraph should be helpful to you.