Loop quantization of spherically symmetric midi-superspaces

Abstract

We quantize the exterior of spherically symmetric vacuum space-times using a midi-superspace reduction within the Ashtekar new variables. Through a partial gauge fixing we eliminate the diffeomorphism constraint and are left with a Hamiltonian constraint that is first class. We complete the quantization in the loop representation. We also use the model to discuss the issues that will arise in more general contexts in the ``uniform discretization'' approach to the dynamics.

18 pages, RevTex, no figures, some typos corrected, published version, for some reason a series of figures were incorrectly added to the previous version

References in corpus (6)

• Loop quantum cosmology of k=1 FRW models
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Loop Quantum Gravity: An Inside View
• Uniform discretizations: a new approach for the quantization of totally constrained systems
• On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories
• Dirac-like approach for consistent discretizations of classical constrained theories

Cited by in corpus (10)

• Loop Quantum Dynamics of the Schwarzschild Interior
• Black holes in loop quantum gravity: the complete space-time
• Anti-deSitter universe dynamics in LQC
• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Physical time and other conceptual issues of QG on the example of LQC
• Singularities in loop quantum cosmology
• Emergent diffeomorphism invariance in a discrete loop quantum gravity model
• Holography from loop quantum gravity
• Black holes and Rindler superspace: classical singularity and quantum unitarity