Smooth extensions of black holes in loop quantum gravity

Document Type

Article

Publication Date

12-1-2023

Abstract

Vacuum spherically symmetric loop quantum gravity in the midi-superspace approximation using inhomogeneous horizon-penetrating slices has been studied for a decade, and it has been noted that the singularity is eliminated. It is replaced by a region of high curvature and potentially large quantum °uctuations. It was recently pointed out that the e®ective semiclassical metric implies the existence of a shell of matter which violates energy conditions in regions where the curvature is largest. Here, we propose an alternative way of treating the problem that is free from the shells. The ambiguity in the treatment is related with the existence of new observables in the quantum theory that characterize the area excitations, and how the counterpart of di®eomorphisms in the discrete quantum theory is mapped to the continuum semiclassical picture. The resulting spacetime in the high curvature region inside the horizon is approximated by a metric of the type of the Simpson{Visser wormhole and it connects the black hole interior to a white hole in a smooth manner.

Publication Source (Journal or Book title)

International Journal of Modern Physics D

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