I'm starting work on a summer project at my university soon, based in General Relativity. In particular, my project is focused on slicing of black holes. The problem, however, I've never taken a General Relativity course (I've taken Differential Geometry, though), and I'm having trouble finding something to read that gives a "gentle" introduction to black hole slicings.
If you can recommend anything at all that I should read to help my understanding, I would be truly grateful.
Learning GR for beginners...well, there's a thread on that topic.
As far as space-like hypersurfaces foliating spacetime ("slicing spacetime"), a good first book would be Poisson's A Relativist's Toolkit, specifically chapter 1 (to learn the notation and review any background concepts) and chapter 3 (to learn the mathematics of hypersurfaces).
Your research mentor should be a good resource and provide references, though. I'm sure asking him or her "Hey, I don't have a good background on hypersurfaces, what's a good reference?" is better than asking the internet...
