A Quantum Model of Schwarzschild Black Hole Evaporation

Details A Quantum Model of Schwarzschild Black Hole Evaporation A Quantum Model of Schwarzschild Black Hole Evaporation

1996-11-26

arxiv.org/abs/hep-th/9611219v1

Phys.Lett.B395:184-190,1997

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex, 2 figures

Scientific paper

10.1016/S0370-2693(97)00060-9

We construct a one-loop effective metric describing the evaporation phase of a Schwarzschild black hole in a spherically symmetric null-dust model. This is achieved by quantising the Vaidya solution and by chosing a time dependent quantum state. This state describes a black hole which is initially in thermal equilibrium and then the equilibrium is switched off, so that the black hole starts to evaporate, shrinking to a zero radius in a finite proper time. The naked singularity appears, and the Hawking flux diverges at the end-point. However, a static metric can be imposed in the future of the end-point. Although this end-state metric cannot be determined within our construction, we show that it cannot be a flat metric.

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