Hamiltonian formalism for black holes and quantization

摘要: Starting from the Lagrangian formulation of Einstein equations for vacuum static spherically symmetric metric, we develop a canonical formalism in radial variable r that is timelike inside Schwarzschild horizon. The mass turns out to be represented by function commutes with r-Hamiltonian. We investigate Wheeler-DeWitt quantization and give general representation solution as superposition eigenfunctions operator.