Linearized Stability of Harada Thin-Shell Wormholes

TL;DR

This paper analyzes the stability of Harada thin-shell wormholes using junction conditions, energy conditions, and linearized perturbations, revealing how the Harada parameter influences their stability and physical properties.

Contribution

It introduces a stability analysis of Harada thin-shell wormholes considering a new parameter, expanding understanding of their dynamics and stability criteria.

Findings

Identified stability regions depending on the Harada parameter.

Demonstrated the influence of energy conditions on wormhole stability.

Provided criteria for stable static solutions under radial perturbations.

Abstract

Using Darmois-Israel-Sen junction conditions, and with help of Visser's cut-and-paste method, we study the dynamics of thin-shell wormholes that are made of two conformally Killing gravity (a.k.a Harada gravity) black holes. We check the energy conditions for different values of the new parameter that Harada introduced, as alternative for dark energy. We examine the radial acceleration to reveal the attractive and repulsive characteristics of the thin-shell wormhole throat. We consider the dynamics and stability of the wormhole around the static solutions of the linearized radial perturbations at the wormhole throat. Finally, we determine the regions of stability by applying the concavity test on the ``speed of sound'' as a function in the throat radius and other spacetime parameters, particularly the new Harada parameter.