Diffeomorphism invariance in spherically symmetric loop quantum gravity
General Relativity and Quantum Cosmology
2010-11-30 v1
Abstract
We study the issue of the recovery of diffeomorphism invariance in the recently introduced loop quantum gravity treatment of the exterior Schwarzschild space-time. Although the loop quantization agrees with the quantization in terms of metric variables in identifying the physical Hilbert space, we show that diffeomorphism invariance in space-time is recovered with certain limitations due to the use of holonomic variables in the loop treatment of the model. This resembles behaviors that are expected in the full theory.
Cite
@article{arxiv.0807.4748,
title = {Diffeomorphism invariance in spherically symmetric loop quantum gravity},
author = {Rodolfo Gambini and Jorge Pullin},
journal= {arXiv preprint arXiv:0807.4748},
year = {2010}
}
Comments
5 pages, no figures, invited paper for a special issue of Advanced Science Letters