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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.
Sandip P. Trivedi (Sat,) studied this question.
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