Quantum space-time of a charged black hole

Abstract

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 space-times resolve the singularity present in the classical theory inside charged black holes and allows to extend the space-time through where the singularity used to be into new regions. We show that quantum discreteness of space-time may also play a role in stabilizing the Cauchy horizons, though back reaction calculations are needed to confirm this point.

6 pages, RevTex, one figure

References in corpus (2)

• Loop quantization of spherically symmetric midi-superspaces
• Quantum dynamics of the Einstein-Rosen wormhole throat

Cited by in corpus (6)

• Hypersurface-deformation algebroids and effective space-time models
• Singularity resolution by holonomy corrections: Spherical charged black holes in cosmological backgrounds
• Brief review on black hole loop quantization
• Thermodynamics of effective loop quantum black holes
• Covariant effective spacetimes of spherically symmetric electrovacuum with a cosmological constant
• Non-singular naked solutions in quantum spacetime