Discharge of a Reissner-Nordström black hole within the event horizon

Physics

Scientific paper

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Black Holes, Exact Solutions

Scientific paper

A simple model is constructed to illustrate candidate interior geometries for charged spherical black holes. The new feature of this model is the explicit consideration of the evolution of the electromagnetic field and charge distribution in the black-hole interior. The model is constructed by joining the Reissner-Nordström and Schwarzschild geometries along a spacelike hypersurface at a constant radius lying between the inner and outer horizon radii of the Reissner-Nordström geometry. This model represents an idealization in which the Schwinger pair creation rate is approximated as zero below a critical electric field value E0 and as infinity above the critical field value. The spacelike hypersurface on which the geometries are joined represents a sheet of current caused by the created charged pairs. This current eliminates the interior electromagnetic field, resulting in a final state for the black-hole interior which contains no Cauchy horizons, naked singularities, or ``tunnels to elsewhere.''

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