Eigenvalues of the Weyl operator as observables of general relativity
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
We consider the eigenvalues of the three-dimensional Weyl operator defined in terms of the (Euclidean) Ashtekar variables, and we study their dependence on the gravitational field. We notice that these eigenvalues can be used as gravitational variables, and derive explicit formulas for their Poisson brackets and their time evolution.
Cite
@article{arxiv.gr-qc/9406014,
title = {Eigenvalues of the Weyl operator as observables of general relativity},
author = {Roberto De Pietri and Carlo Rovelli},
journal= {arXiv preprint arXiv:gr-qc/9406014},
year = {2010}
}
Comments
15 pages, LaTex style, preprint UPRF-94-399