Metric Versus Ashtekar Variables in Two Killing Field Reduced Gravity
General Relativity and Quantum Cosmology
2009-10-30 v1
Abstract
The relation between the SL(2,R)/SO(2)- and the SL(2,C)-chiral model that naturally arise within the metric respectively the Ashtekar formulation of two Killing field reduced Einstein gravity is revealed. Both chiral models turn out to be completely equivalent even though the transition from the coset- to the SL(2,C)-model is accompanied by a disappearance of the non-ultralocal terms in the Poisson brackets.
Cite
@article{arxiv.gr-qc/9710133,
title = {Metric Versus Ashtekar Variables in Two Killing Field Reduced Gravity},
author = {Marco Zagermann},
journal= {arXiv preprint arXiv:gr-qc/9710133},
year = {2009}
}
Comments
9 pages, LaTeX2e