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Now, I'm starting to study General Relativity and I want to understand better the relation between gravitational waves and black holes from a more rigorous standpoint. In truth I would like to get to some mathematical derivation of that relation. Something that starting from black hole mathematics we end up showing there is a gravitational wave generation.

Is there some paper about that out there? I've been searching for this in the last few days but didn't find anything. I belive this might be in the context of the Kerr black holes as it is the one related to rotation as far as I know. Any paper is appreciated!