We have a well understood interacting electromagnetic system, an electromagnetic wave interacting with an atom. We use perturbation theory to calculate what happens in such a system. The result is of course the phenomenon of stimulated emission, which has an important application in LASERs.
My question: Is there any way to do the gravitaional counter-part of the problem, that is interaction of a black hole with a gravitational wave(well, I agree that the correspondense is approximate of course), may be using AdS/CFT ?
Is the "correspondense" I suggest itself absurd?