Hamiltonian Formalism for Black Holes and Quantization
General Relativity and Quantum Cosmology
2009-10-22 v2 High Energy Physics - Theory
Abstract
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 that is time--like inside the Schwarzschild horizon. The Schwarzschild mass turns out to be represented by a canonical function that commutes with the --Hamiltonian. We investigate the Wheeler--DeWitt quantization and give the general representation for the solution as superposition of eigenfunctions of the mass operator.
Keywords
Cite
@article{arxiv.gr-qc/9411070,
title = {Hamiltonian Formalism for Black Holes and Quantization},
author = {Marco Cavaglia` and Vittorio de Alfaro and Alexandre T. Filippov},
journal= {arXiv preprint arXiv:gr-qc/9411070},
year = {2009}
}
Comments
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