I am studying for a physics degree and we are beginning to study Black Holes. But I am not sure whether or not these comply with the Quran, any justification would be appreciated.
The Qur'an (or the hadith, for that matter) is not a science textbook. It is a book of (spiritual) guidance and revelation from our Creator. It touches on matters of creation, and the remarkable thing about that is that it uses language and descriptions that fit perfectly with modern understandings of those things. However, it doesn't necessarily offer detailed knowledge about them.
Allah SWT touches upon the creation of the heavens in generalities, with some detail here and there. There is definitely plenty of detail that we don't know about. Allah points to the intricacy in the heavens as a proof of His ability to resurrect. He tells humans to ponder on the creation in order to get to know Him.
When you have a physical phenomenon that's been measured, why would you not believe in it? The source of the phenomenon and the Qur'an are the same so how can there be a contradiction?