Global geometry of two-dimensional charged black holes

Details Global geometry of two-dimensional charged black holes Global geometry of two-dimensional charged black holes

2006-04-06

arxiv.org/abs/hep-th/0604041v2

Phys.Rev.D73:124036,2006

Physics

High Energy Physics

High Energy Physics - Theory

REVTeX, 13 pages, 12 figures; Reference added

Scientific paper

10.1103/PhysRevD.73.124036

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation instability of the Cauchy horizon is amplified and we find that gravitational collapse of charged matter results in a spacelike singularity that precludes any extension of the spacetime geometry. At the classical level, a static solution describing an eternal black hole has timelike singularities and multiple asymptotic regions. The corresponding semiclassical solution, on the other hand, has a spacelike singularity and a Penrose diagram like that of an electrically neutral black hole. Extremal black holes are destabilized by pair-creation of charged particles. There is a maximally charged solution for a given black hole mass but the corresponding geometry is not extremal. Our numerical data exhibits critical behavior at the threshold for black hole formation.

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