Quantization of the Schwarzschild Black Hole
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
We quantize by the Dirac - Wheeler-DeWitt method the canonical formulation of the Schwarzschild black hole developed in a previous paper. We investigate the properties of the operators that generate rigid symmetries of the Hamiltonian, establish the form of the invariant measure under the rigid transformations, and determine the gauge fixed Hilbert space of states. We also prove that the reduced quantization method leads to the same Hilbert space for a suitable gauge fixing.
Keywords
Cite
@article{arxiv.gr-qc/9508062,
title = {Quantization of the Schwarzschild Black Hole},
author = {Marco Cavaglia` and Vittorio de Alfaro and Alexandre T. Filippov},
journal= {arXiv preprint arXiv:gr-qc/9508062},
year = {2015}
}
Comments
24 pages, plain-tex, no figures