Screening of the Reissner-Nordstr\"om charge by a thin-shell of dust matter

Abstract

A concentric charged thin-shell encircling a Reissner-Nordstr\"om black hole screens the clectric / magnetic charge completely to match with an external Schwarzschild black hole. The negative mass thin-shell is shown to be stable against radial perturbations. It is shown further that by reversing the roles of inside Reissner-Nordstr\"om and outside Schwarzschild geometries the mass of the appropriate shell becomes positive.

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