On the fate of quantum black holes

Abstract

We study the quantum dynamics of the Lemaître-Tolman-Bondi space-times using a polymer quantization prescription based on loop quantum cosmology that incorporates fundamental discreteness. By solving an effective equation derived from this quantization, we find analytical solutions for the Oppenheimer-Snyder and thin-shell collapse models, and numerical solutions for a variety of asymptotically flat collapsing dust profiles. Our study (i) tracks the formation, evolution and disappearance of dynamical horizons, (ii) shows that matter undergoes a non-singular bounce that results in an outgoing shock wave, (iii) determines black hole lifetime to be proportional to the square its mass, and (iv) provides a conformal diagram that substantially modifies the standard "information loss" picture by resolving the singularity and replacing the event horizon by transient apparent horizons.

arXiv comment48 pages, 6 figures with multiple panels, code uploaded with source files. v2: Clarifications added, references added and typos corrected

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Cited by in corpus (6)

• Quantum Oppenheimer-Snyder and Swiss Cheese models
• Spherical symmetric gravitational collapse of a dust cloud: polymerized dynamics in reduced phase space
• Classical mass inflation vs semiclassical inner horizon inflation
• Model metrics for quantum black hole evolution: Gravitational collapse, singularity resolution, and transient horizons
• Quantum geometry and black holes
• Probing the interior of the Schwarzschild black hole using congruences: LQG vs. GUP