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

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

2010-05-16

arxiv.org/abs/1005.2740v1

Phys. Rev. D 81, 104036 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted to Phys. Rev. D

Scientific paper

10.1103/PhysRevD.81.104036

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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