Formation and Evaporation of Charged Black Holes

Details Formation and Evaporation of Charged Black Holes Formation and Evaporation of Charged Black Holes

2001-03-25

arxiv.org/abs/gr-qc/0103090v1

Phys.Rev. D63 (2001) 124024

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 7 eps figures, RevTex, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.63.124024

We investigate the dynamical formation and evaporation of a spherically symmetric charged black hole. We study the self-consistent one loop order semiclassical back-reaction problem. To this end the mass-evaporation is modeled by an expectation value of the stress-energy tensor of a neutral massless scalar field, while the charge is not radiated away. We observe the formation of an initially non extremal black hole which tends toward the extremal black hole $M=Q$, emitting Hawking radiation. If also the discharge due to the instability of vacuum to pair creation in strong electric fields occurs, then the black hole discharges and evaporates simultaneously and decays regularly until the scale where the semiclassical approximation breaks down. We calculate the rates of the mass and the charge loss and estimate the life-time of the decaying black holes.

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