1994/11/30 by Marco Cavaglia`, MARCO CAVAGLIÀ, Vittorio de Alfaro +3 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Canonical quantization #Cosmology and Gravitation Theories #Deriving the Schwarzschild solution #Eigenfunction #Formalism (music) #Hamiltonian (control theory) #Hamiltonian constraint #Hawking radiation #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Schwarzschild metric #Schwarzschild radius #gr-qc #hep-th
paper · pdf · doi:10.1142/s0218271895000442
published as Int.J.Mod.Phys. D4 (1995) 661-672 · 13 pages, Plain Tex, no figures, Mail Adrress: Dipartimento di Fisica Teorica dell'Universita` di Torino, Via Giuria 1, I-10125 Torino, Italy; TWO REFERENCES ADDED
arxiv created 1994/12/06 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Starting from the Lagrangian formulation of the Einstein equations for the vacuum static spherically symmetric metric, we develop a canonical formalism in the radial variable r that is timelike inside the Schwarzschild horizon. The Schwarzschild mass turns out to be represented by a canonical function that commutes with the r-Hamiltonian. We investigate the Wheeler-DeWitt quantization and give the general representation for the solution as superposition of eigenfunctions of the mass operator.