Constraints and Reality Conditions in the Ashtekar Formulation of General Relativity
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
We show how to treat the constraints and reality conditions in the -ADM (Ashtekar) formulation of general relativity, for the case of a vacuum spacetime with a cosmological constant. We clarify the difference between the reality conditions on the metric and on the triad. Assuming the triad reality condition, we find a new variable, allowing us to solve the gauge constraint equations and the reality conditions simultaneously.
Cite
@article{arxiv.gr-qc/9602026,
title = {Constraints and Reality Conditions in the Ashtekar Formulation of General Relativity},
author = {Gen Yoneda and Hisaaki Shinkai},
journal= {arXiv preprint arXiv:gr-qc/9602026},
year = {2009}
}
Comments
LaTeX file, 12 pages, no figures; to appear in Classical and Quantum Gravity