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We study the core of a black hole in a simple model for quantum gravity in which quantum effects are represented by an upper cutoff on the curvature. The singularities are replaced by perfectly well-behaved regions, and an infalling observer ends up in an exponentially expanding de Sitter-like core. Past and future core can "almost" be spliced together to connect a black hole and a white hole in the manner of Kerr and Reissner-Nordstr\"om solutions.
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Daniel C. Morgan (1991) studied this question.
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