All
I am involved in a project where I need to calculate a metric resulting from a perturbation.
In particular, I am doing perturbation on a Kerr Geometry. I am new to black hole perturbation theory. I know that this kind of perturbation on Kerr metric is usually done in Teukolsky formulation, which involves substantial use of Newman-Penrose Formalism, which I am not familiar of (too many symbols in NP formalism!)
I wonder whether anyone can introduce me a self-contained and concise review/note on Black Hole Perturbation Theory, on Teukolsky formulation, and most importantly on NP formalism and how it is actually used in black hole perturbation theory.