Dynamical and thermodynamical stability of a charged thin-shell wormhole

TL;DR

This paper investigates the stability of a charged thin-shell wormhole by analyzing its dynamical behavior and thermodynamical properties, deriving conditions for stability under various physical assumptions.

Contribution

It introduces a combined dynamical and thermodynamical stability analysis for charged thin-shell wormholes, providing new inequalities and stability criteria.

Findings

Derived a concise inequality for dynamical stability applicable to any barotropic matter.

Established a thermodynamical framework with temperature and electric potential for the wormhole.

Identified equilibrium configurations that are both dynamically and thermodynamically stable.

Abstract

A study of the dynamical and thermodynamical stability of a charged thin-shell wormhole built by gluing two Reissner-Nordstr\"{o}m geometries is presented. The charge on the shell is linearly related to the matter content. For the dynamical stability, a concise inequality is obtained, valid for any barotropic equation of state that relates the pressure with the energy density at the throat. A thermodynamical description of the system is introduced, which leads to the temperature and the electric potentials. Adopting a linear equation of state for the pressure and a definite form for the entropy function, the set of equilibrium configurations that are both dynamically and thermodynamically stable is found.