Loop quantization of spherically symmetric midi-superspaces
General Relativity and Quantum Cosmology
2008-11-26 v5
Abstract
We quantize the exterior of spherically symmetric vacuum space-times using a midi-superspace reduction within the Ashtekar new variables. Through a partial gauge fixing we eliminate the diffeomorphism constraint and are left with a Hamiltonian constraint that is first class. We complete the quantization in the loop representation. We also use the model to discuss the issues that will arise in more general contexts in the ``uniform discretization'' approach to the dynamics.
Cite
@article{arxiv.gr-qc/0703135,
title = {Loop quantization of spherically symmetric midi-superspaces},
author = {Miguel Campiglia and Rodolfo Gambini and Jorge Pullin},
journal= {arXiv preprint arXiv:gr-qc/0703135},
year = {2008}
}
Comments
18 pages, RevTex, no figures, some typos corrected, published version, for some reason a series of figures were incorrectly added to the previous version