Closure of Constraints for Plane Gravity Waves
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
The metric for gravitational plane waves has very high symmetry (two spacelike commuting Killing vectors). For this high symmetry, a simple renormalization of the lapse function is found which allows the constraint algebra for canonical quantum gravity to close; also, the vector constraint has the correct form to generate spatial diffeomorphisms. A measure is constructed which respects the reality conditions, but does not yet respect the invariances of the theory.
Cite
@article{arxiv.gr-qc/9508022,
title = {Closure of Constraints for Plane Gravity Waves},
author = {Donald E. Neville},
journal= {arXiv preprint arXiv:gr-qc/9508022},
year = {2007}
}
Comments
19 pages; LaTex