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Fuzziness at the horizon
Authors:Davide Batic  Piero Nicolini
Institution:1. Departamento de Matematica, Universidad de los Andes, Cra 1E, No. 18A-10, Bogotá, Colombia Department of Mathematics, University of West Indies, Kingston, Jamaica;2. Frankfurt Institute for Advanced Studies (FIAS), Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Ruth-Moufang-Strasse 1, 60438 Frankfurt am Main, Germany
Abstract:We study the stability of the noncommutative Schwarzschild black hole interior by analysing the propagation of a massless scalar field between the two horizons. We show that the spacetime fuzziness triggered by the field higher momenta can cure the classical exponential blue-shift divergence, suppressing the emergence of infinite energy density in a region nearby the Cauchy horizon.
Keywords:Cauchy horizon  Noncommutative black holes
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