A Kucha\v{r} Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields
General Relativity and Quantum Cosmology
2009-10-22 v1 High Energy Physics - Theory
Abstract
The Kucha\v{r} canonical transformation for vacuum geometrodynamics in the presence of cylindrical symmetry is applied to a general non-vacuum case. The resulting constraints are highly non-linear and non-local in the momenta conjugate to the Kucha\v{r} embedding variables. However, it is demonstrated that the constraints can be solved for these momenta and thus the dynamics of cylindrically symmetric models can be cast in a form suitable for the construction of a hypertime functional Schr\"odinger equation.
Cite
@article{arxiv.gr-qc/9311030,
title = {A Kucha\v{r} Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields},
author = {Stephen P. Braham},
journal= {arXiv preprint arXiv:gr-qc/9311030},
year = {2009}
}
Comments
5 pages, LaTeX, UBCTP-93-024