I'm currently writing a research paper on QG and its applications to black holes. Before I start on QG, i feel as though I should provide an intro to GR and QFT but I also shouldn't devote too many pages to them. So, where i'm at right now: I've discussed diffeomorphish invarance, discussed and derived the Riemann curvature tensor, and derived and discussed EFE. I don't know whether or not for my last page should be on tetrads, AMD formulation or simply start talking about gauge fields and Yang-Mills theory. Any help is much appreciated!