Speaker
Description
The study of the quantum geometry of nonrotating black holes has received a lot of attention within the framework of Loop Quantum Cosmology. This interest has been revitalized since the introduction of an effective model by Ashtekar, Olmedo, and Singh. Despite recent advances, there are certain questions about its quantization that remain open. We complete this quantization taking as starting point an extended phase space formalism. Adopting standard prescriptions in Loop Quantum Cosmology and searching for quantum solutions to the Hamiltonian constraint in a sufficiently large set of states, we show how to build a physical Hilbert space with a continuous range of black hole mass. This fact seems in favour of a conventional classical limit (at least for large masses). We also briefly comment on the extension to the exterior geometry, the introduction of a scalar field, and the consideration of perturbations.
