Stability of the Regular Hayward Thin-Shell Wormholes

TL;DR

This paper constructs and analyzes the stability of regular Hayward thin-shell wormholes, examining energy conditions, physical properties, and the effects of parameters on their traversability and stability.

Contribution

It introduces a detailed stability analysis of Hayward thin-shell wormholes, including effects of parameters and energy conditions, with novel insights into their physical viability.

Findings

Null and weak energy conditions are violated, indicating exotic matter presence.

Stability improves with Hayward and Van der Waals parameters.

Non-physical regions decrease and vanish at specific parameter values.

Abstract

The aim of this paper is to construct regular Hayward thin-shell wormholes and analyze their stability. We adopt Israel formalism to calculate surface stresses of the shell and check the null and weak energy conditions for the constructed wormholes. It is found that the stress-energy tensor components violate the null and weak energy conditions leading to the presence of exotic matter at the throat. We analyze the attractive and repulsive characteristics of wormholes corresponding to $a^r>0$ and $a^r<0$, respectively. We also explore stability conditions for the existence of traversable thin-shell wormholes with arbitrarily small amount of fluids describing cosmic expansion. We find that the spacetime has non-physical regions which give rise to event horizon for $0<a_{0}<2.8$ and the wormhole becomes non-traversable producing a black hole. The non-physical region in the wormhole configuration decreases gradually and vanishes for the Hayward parameter $l=0.9$. It is concluded that the Hayward and Van der Waals quintessence parameters increase the stability of thin-shell wormholes.