"Quantization of Midisuperspace Models"
by
J. Fernando Barbero G. and Eduardo J. S. Villaseñor
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Abstract
1
Introduction
2
A Minihistory of Midisuperspaces
2.1
Symmetry reductions in classical and quantum general relativity
2.2
Superspace
2.3
Minisuperspaces
2.4
Midisuperspaces
3
Quantization(s)
3.1
Reduced phase-space quantization
3.2
Dirac quantization
3.3
Quantization with partial gauge fixing
3.4
Path integral quantization
3.5
Symmetry reductions and quantization
4
Midisuperspaces: Classical Aspects
4.1
One-Killing vector reductions
4.2
Two-Killing vector reductions
4.3
Spherical symmetry
5
Midisuperspaces: Quantization
5.1
Quantization of one-Killing vector reductions
5.2
Quantization of two-Killing vector reductions
5.3
Spherically-symmetric midisuperspace
6
Conclusions, Open Issues and Future Problems
7
Acknowledgements
References