A curvature operator for LQG
General Relativity and Quantum Cosmology
2014-06-25 v4 High Energy Physics - Theory
Abstract
We introduce a new operator in Loop Quantum Gravity - the 3D curvature operator - related to the 3-dimensional scalar curvature. The construction is based on Regge Calculus. We define it starting from the classical expression of the Regge curvature, then we derive its properties and discuss some explicit checks of the semi-classical limit.
Cite
@article{arxiv.1403.3190,
title = {A curvature operator for LQG},
author = {Emanuele Alesci and Mehdi Assanioussi and Jerzy Lewandowski},
journal= {arXiv preprint arXiv:1403.3190},
year = {2014}
}
Comments
20 pages; Labels on figure 4 and figure 5 adjusted and some references corrected