2014/12/18 by Rodolfo Gambini, Esteban Mato Capurro, Jorge Pullin
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Diffeomorphism #Geometry #Hamiltonian (control theory) #Hamiltonian constraint #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #Quantum spacetime #Singularity #Spacetime #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.91.084006
published as Phys. Rev. D 91, 084006 (2015) · 6 pages, RevTex, one figure
arxiv created 2014/12/18 · openalex publication_date 2015/04/06 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We quantize spherically symmetric electrovacuum gravity. The algebra of Hamiltonian constraints can be made Abelian via a rescaling and linear combination with the diffeomorphism constraint. As a result the constraint algebra is a true Lie algebra. We complete the Dirac quantization procedure using loop quantum gravity techniques. We present explicitly the exact solutions of the physical Hilbert space annihilated by all constraints. The resulting quantum spacetimes resolve the singularity present in the classical theory inside charged black holes and allows us to extend the spacetime through where the singularity used to be into new regions. We argue that quantum discreteness of spacetime may also play a role in stabilizing the Cauchy horizons, though backreaction calculations are needed to confirm this point.