Semiclassical Extremal Blackholes

Abstract

Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon. Extensions of the geometry past the horizon are not unique but there are continuations free from malevolent singularities. A few comments are made about the relevance of these results to four dimensions and to the study of black hole entropy and information loss.

16 pages, 2 figures upon request, CALT-68-1833 - (new version corrects omissions in previous list of references)

References in corpus (11)

• Evanescent Black Holes
• Are Horned Particles the Climax of Hawking Evaporation?
• Charged Black Holes in Two-Dimensional String Theory
• Evaporation of Two Dimensional Black Holes
• Dynamics of Extremal Black Holes
• Hawking Radiation and Back-Reaction
• Semiclassical Approach to Black Hole Evaporation
• Quantum Black Holes
• Classical and Quantum Production of Cornucopions At Energies Below $10^{18}$ GeV
• Dilaton Gravity and No-Hair Theorem in Two Dimensions
• Toy Models For Black Hole Evaporation

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