Spherically Symmetric Quantum Geometry: States and Basic Operators

Abstract

The kinematical setting of spherically symmetric quantum geometry, derived from the full theory of loop quantum gravity, is developed. This extends previous studies of homogeneous models to inhomogeneous ones where interesting field theory aspects arise. A comparison between a reduced quantization and a derivation of the model from the full theory is presented in detail, with an emphasis on the resulting quantum representation. Similar concepts for Einstein-Rosen waves are discussed briefly.

26 pages

References in corpus (4)

• The Bianchi IX model in Loop Quantum Cosmology
• Quantum suppression of the generic chaotic behavior close to cosmological singularities
• On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories
• The Volume Operator in Spherically Symmetric Quantum Geometry

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