We quantize the exterior of spherically symmetric vacuum spacetimes 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. © 2007 IOP Publishing Ltd.
Publication Source (Journal or Book title)
Classical and Quantum Gravity
Campiglia, M., Gambini, R., & Pullin, J. (2007). Loop quantization of spherically symmetric midi-superspaces. Classical and Quantum Gravity, 24 (14), 3649-3672. https://doi.org/10.1088/0264-9381/24/14/007