Evaporation of a two-dimensional charged black hole

Details Evaporation of a two-dimensional charged black hole Evaporation of a two-dimensional charged black hole

2001-02-14

arxiv.org/abs/gr-qc/0102067v1

Phys.Rev. D63 (2001) 104016

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, 30 pages, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.63.104016

We construct a dilatonic two-dimensional model of a charged black hole. The classical solution is a static charged black hole, characterized by two parameters, $m$ and $q$, representing the black hole's mass and charge. Then we study the semiclassical effects, and calculate the evaporation rate of both $m$ and $q$, as a function of these two quantities. Analyzing this dynamical system, we find two qualitatively different regimes, depending on the electromagnetic coupling constant $g_{A}$. If the latter is greater than a certain critical value, the charge-to-mass ratio decays to zero upon evaporation. On the other hand, for $g_{A}$ smaller than the critical value, the charge-to-mass ratio approaches a non-zero constant that depends on $g_{A}$ but not on the initial values of $m$ and $q$.

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