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 (3)

• The Bianchi IX model in Loop Quantum Cosmology
• Quantum suppression of the generic chaotic behavior close to cosmological singularities
• The Volume Operator in Spherically Symmetric Quantum Geometry

Cited by in corpus (7)

• Black hole evaporation: A paradigm
• A black hole mass threshold from non-singular quantum gravitational collapse
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• Elements of Loop Quantum Cosmology
• The Early Universe in Loop Quantum Cosmology
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity