Charge screening by thin-shells in a 2+1-dimensional regular black hole

TL;DR

This paper investigates a 2+1-dimensional Bardeen black hole with a radial electric field, demonstrating that a charged thin-shell can effectively screen the black hole's charge from outside observers.

Contribution

It introduces a novel Hamiltonian formalism for a 2+1-dimensional Bardeen black hole and shows how a charged thin-shell can screen the black hole's charge.

Findings

The black hole asymptotes to the charged BTZ black hole at infinity.

A charged thin-shell can effectively screen the black hole's charge.

The solution is obtained using an alternative Hamiltonian formalism.

Abstract

We consider a particular Bardeen black hole in 2+1-dimensions. The black hole is sourced by a radial electric field in non-linear electrodynamics (NED). The solution is obtained anew by the alternative Hamiltonian formalism. For $r\rightarrow \infty $ it asymptotes to the charged BTZ black hole. It is shown that by inserting a charged, thin-shell (or ring) the charge of the regular black hole can be screened from the external world.