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 = 1 2π d 2 x √ −g Rφ + 4λ 2 e βφ . The black hole temperature is proportional to the mass and the exact semiclassical solution indicates that these black holes never disappear completely.

Quantum evolution of near-extremal Reissner–Nordström black holes

“…we get 16) whereṼ (φ) is given byṼ 17) and the leading order term is just the JT theory. We can also get this result studying the behavior of the metric (2.11) near extremality.…”

A quantum model of Schwarzschild black hole evaporation

“…This metric will describe the evaporation of a Schwarzschild black hole which was initially in a thermal equilibrium state. This is achieved by using a quantization formalism developed in [10,11], and by using the idea of thermal bath removal [18], which was developed in the case of the 2d model (1.3). We first show that the idea of thermal bath removal can be naturally formulated in the operator formalism, where it corresponds to the introduction of a time dependence in the Heisenberg quantum state of the system.…”

Semi-infinite throats at finite temperature and static solutions in exactly solvable models of 2d dilaton gravity

“…Here we only restrict ourselves by a remark that finite temperature solutions allow us to consider more complicated processes of interaction between a black hole and its quantum surrounding than a evaporation into vacuum. In particular, this enables us to include into consideration directly the role of thermal bath [10]. Another interested problem for further researches is looking for possibilities to gain new exactly solvable models not only due to relaxing the regularity condition for the function ψ at the left infinity (as was made in the present paper) but also to the generalization of the action structure itself.…”