Thin shells in Einstein-Born-Infeld theory

TL;DR

This paper investigates the stability of spherically symmetric charged thin shells within Einstein-Born-Infeld theory, revealing that higher charge levels can enhance stability across various parameters.

Contribution

It provides a detailed analysis of the mechanical stability of charged thin shells in Einstein-Born-Infeld theory, including how charge influences stability ranges.

Findings

Increased charge broadens the stability range of shells.

Stability is analyzed through linearized perturbations.

Charged shells can be stable under certain conditions.

Abstract

The characterization and mechanical stability of charged thin shells with spherical symmetry are analyzed in the context of Einstein-Born-Infeld theory. The study of stability is performed by considering linearized perturbations preserving the symmetry of the static configurations. It is found that as the charge increases, the shells can be stable for a wider range of the parameters.