Global geometry of two-dimensional charged black holes

Journal Article · Thu Jun 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.124036· OSTI ID:20774919

Frolov, Andrei V; Kristjansson, Kristjan R; Thorlacius, Larus ^[1]

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1. KIPAC/SITP, Stanford University, Stanford, California 94305-4060 (United States)

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.

• OSTI ID: 20774919
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CHARGED PARTICLES
COSMOLOGY
GEOMETRY
GRAVITATION
GRAVITATIONAL COLLAPSE
MASS
MATHEMATICAL SOLUTIONS
PAIR PRODUCTION
SEMICLASSICAL APPROXIMATION
SINGULARITY
SPACE-TIME
TWO-DIMENSIONAL CALCULATIONS