Reddit reviews Modern Physics

Sorry, re-reading that, I sound like an asshole. One thing to remember is this isn't basic physics. The lecture is good in that it covers the basics, but the basics of relativity aren't so basic. I have two texts that cover this, the more basic of which covers the material in this lecture, and that one's called Modern Physics. It's a pretty basic book, covers derivations pretty well, if you're interested.

Technogeeky's response is good. I think it's important to remember that the pop-culture understanding of black holes just isn't right.

As for modern physics texts any of these should be fine but I have only glanced at them: Thornton and Rex, Krane, Bernstein, Fishbane, and Gasiorowicz

I read through Taylor and Wheeler's Spacetime Physics and it is really good if you want a lot of conceptual discussion of special relativity, not as much mathematics involved but honestly the math doesn't get too gnarly in SR anyways so conceptual might be the better approach to the topic. Unfortunately it only goes over SR, and not any of the other modern topics.