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arXiv · 1005.2740

Interior design of a two-dimensional semiclassical black hole: Quantum transition across the singularity

Dana Levanony·Amos Ori
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Abstract

We study the internal structure of a two-dimensional dilatonic evaporating black hole, based on the CGHS model. At the semiclassical level, a (weak) spacelike singularity was previously found to develop inside the black hole. We employ here a simplified quantum formulation of spacetime dynamics in the neighborhood of this singularity, using a minisuperspace-like approach. Quantum evolution is found to be regular and well-defined at the semiclassical singularity. A well-localized initial wave-packet propagating towards the singularity bounces off the latter and retains its well-localized form. Our simplified quantum treatment thus suggests that spacetime may extend semiclassically beyond the singularity, and also signifies the specific extension.

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Dana Levanony, Amos Ori. 2010-05-16. Interior design of a two-dimensional semiclassical black hole: Quantum transition across the singularity. https://doi.org/10.1103/physrevd.81.104036

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