Greetings. Let's say we have a bound state problem: two micro black holes in orbit around one other. Let us disregard Hawking evaporation, and solve this problem. The usual way of solving this problem is to do so quantum-mechanically by employing the Schrodinger equation, deducting the eigenvalues, etc. My question is: What other methods can be employed? How does string theory treat this bound state problem? How does general relativity address it? What other approaches can be used? Thank you.