A Kuchař Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields

Details A Kuchař Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields A Kuchař Hypertime Formalism For Cylindrically Symmetric Spacetimes With Interacting Scalar Fields

1993-11-17

arxiv.org/abs/gr-qc/9311030v1

Phys.Rev. D49 (1994) 5606-5608

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, LaTeX, UBCTP-93-024

Scientific paper

10.1103/PhysRevD.49.5606

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.

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