A Kuchař Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields
arXiv:gr-qc/9311030 · doi:10.1103/PhysRevD.49.5606
Abstract
The Kuchař 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 Kuchař 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 Schrödinger equation.
5 pages, LaTeX, UBCTP-93-024