2011/08/31 by S. Jalalzadeh, Shahram Jalalzadeh, Babak Vakili
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #General relativity #Gravitation #Gravitational collapse #Hamiltonian (control theory) #Mathematical physics #Mathematics #Network packet #Noncommutative and Quantum Gravity Theories #Photon sphere #Physics #Quantization (signal processing) #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #White hole #gr-qc #hep-th
paper · pdf · doi:10.1007/s10773-011-0904-x
published as Int. J. Theor. Phys. 51 (2012) 263 · 12 pages, 1 figure, revised version
openalex publication_date 2011/08/31 · arxiv created 2011/09/14 · arxiv updated 2012/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a Hamiltonian quantum formalism of a spherically symmetric space-time which can be identified with the interior of a Schwarzschild black hole. The phase space of this model is spanned by two dynamical variables and their conjugate momenta. It is shown that the classical Lagrangian of the model gives rise the interior metric of a Schwarzschild black hole. We also show that the the mass of such a system is a Dirac observable and then by quantization of the model by Wheeler-DeWitt approach and constructing suitable wave packets we get the mass spectrum of the black hole.