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

TL;DR

This paper investigates how a charged thin-shell can effectively hide a Reissner-Nordström charge, demonstrating stability and conditions for positive shell mass through theoretical analysis.

Contribution

It introduces a model of a charged thin-shell that screens a Reissner-Nordström charge and analyzes its stability and mass properties under different geometric configurations.

Findings

The thin-shell can fully screen the black hole's charge.

The negative mass shell is stable against radial perturbations.

Reversing geometries yields a positive shell mass.

Abstract

A concentric charged thin-shell encircling a Reissner-Nordstr\"{o}m 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\"{o}m and outside Schwarzschild geometries the mass of the appropriate shell becomes positive.