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arXiv · hep-th/9611219

A Quantum Model of Schwarzschild Black Hole Evaporation

J. Cruz·A. Mikovic·J. Navarro-Salas
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Abstract

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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J. Cruz, A. Mikovic, J. Navarro-Salas. 1996-11-26. A Quantum Model of Schwarzschild Black Hole Evaporation. https://doi.org/10.1016/s0370-2693(97)00060-9

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