Black Hole Evaporation by Thermal Bath Removal

Abstract

We study the evaporation process of 2D black holes in thermal equilibrium when the incoming radiation is turned off. Our analysis is based on two different classes of 2D dilaton gravity models which are exactly solvable in the semiclassical aproximation including back-reaction. We consider a one parameter family of models interpolating between the Russo-Susskind-Thorlacius and Bose-Parker-Peleg models. We find that the end-state geometry is the same as the one coming from an evaporating black hole formed by gravitational collapse. We also study the quantum evolution of black holes arising in a model with classical action $S=\frac{1}{2\pi }\int d^{2}x\sqrt{-g}(R\varphi +4{\lambda }^2{e}^{\beta \varphi })$. The black hole temperature is proportional to the mass and the exact semiclassical solution indicates that these black holes never disappear completely.

LaTeX, psfig.sty. 10 pages. 3 figures (included as PS files)

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• Cosmic Censorship in Two-Dimensional Gravity
• Semi-infinite Throat as the End-state Geometry of two-dimensional Black Hole Evaporation
• Quantum Mechanics of Black Holes
• Liouville Black Holes
• Hawking Radiation and Unitary evolution
• Solvable Models for radiating Black Holes and Area-preserving Diffeomorphisms
• Validity of the Semiclassical Approximation and Back=reaction

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• Critical energy flux and mass in solvable theories of 2d dilaton gravity
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