Spherically Symmetric Quantum Geometry: States and Basic Operators

Bojowald, Martin

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Spherically Symmetric Quantum Geometry: States and Basic Operators

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Bojowald, Martin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Bojowald, M. (2004). Spherically Symmetric Quantum Geometry: States and Basic Operators. Classical and Quantum Gravity, 21, 3733-3753.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-516C-7

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.