Loop Quantization of Polarized Gowdy Model on $T^3$: Classical Theory

Details Loop Quantization of Polarized Gowdy Model on $T^3$: Classical Theory Loop Quantization of Polarized Gowdy Model on $T^3$: Classical Theory

2007-12-05

arxiv.org/abs/0712.0683v2

Class.Quant.Grav.25:105014,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, no figures. Final version; to appear in Classical and Quantum Gravity. Additional References included

Scientific paper

10.1088/0264-9381/25/10/105014

The vacuum Gowdy models provide much studied, non-trivial midi-superspace examples. Various technical issues within Loop Quantum Gravity can be studied in these models as well as one can hope to understand singularities and their resolution in the loop quantization. The first step in this program is to reformulate the model in real connection variables in a manner that is amenable to loop quantization. We begin with the unpolarized model and carry out a consistent reduction to the polarized case. Carrying out complete gauge fixing, the known solutions are recovered.

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