^{3}.

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

One of the most interesting attributes of general relativity is the possible existence of hypothetical geometries having nontrivial topological structure. Misner and Wheeler [

Physicists have been motivated by the proposal of Lorentzian traversable wormholes given by Morris and Thorne [

Thin-shell wormholes belong to one of the wormhole classes in which exotic matter is restricted at the hypersurface. To make sure that the observer does not encounter nonphysical zone of BH, a thin shell strengthens the wormhole provided that it has an exotic matter for its maintenance against gravitational collapse. The physical viability of thin-shell wormholes is a debatable issue due to inevitable amount of exotic matter which is an essential ingredient for the existence as well as stability of wormholes. The amount of exotic matter can be quantified by the volume integral theorem which is consistent with the concept that a small quantity of exotic matter is needed to support wormhole [

It is well known that thin-shell wormholes are of significant importance if they are stable. The stable/unstable wormhole models can be investigated either by applying perturbations or by assuming equation of state (EoS) supporting exotic matter at the wormhole throat. In this context, many authors constructed thin-shell wormholes following Visser’s cut-and-paste procedure and discussed their stability. Kim and Lee [

It is found that one may construct a traversable wormhole theoretically with arbitrarily small amount of fluid describing cosmic expansion. In order to find any realistic source for exotic matter, different candidates of dark energy have been proposed like tachyon matter [

This paper is devoted to the construction of thin-shell wormholes from regular Hayward BH by considering three different models of exotic matter at the throat. The paper is organized as follows. In Section

The static spherically symmetric regular Hayward BH [

We implement the standard cut-and-paste procedure to construct a timelike thin-shell wormhole. In this context, the interior region of the regular Hayward BH is cut with

This construction requires the fulfillment of flare-out condition by the throat radius

Plots of

Now we explore the attractive and repulsive characteristics of the regular Hayward thin-shell wormholes. In this context, we need to compute the observer’s four-acceleration

Plots of

Some researchers are excited by the possibility of wormholes in reality. It appears feasible to keep the wormhole throat open long enough such that an object can traverse easily through it if the throat is threaded by exotic matter. The total amount of exotic matter is quantified by the integral theorem [

The wormhole shell, being thin, does not apply any pressure leading to

Here, we study the formation of thin-shell wormholes from regular Hayward BH and analyze their stability under linear perturbations. The surface energy density and surface pressure corresponding to static wormhole configuration at

Firstly, we model the exotic matter by VDW quintessence EoS which is a remarkable scenario to describe accelerated expansion of the universe without the presence of exotic fluids. The EoS for VDW quintessence is given by

Now, we formulate static solutions for which the dynamical equation through (

Plots for regular Hayward thin-shell wormholes by taking VDW quintessence with

Plots for VDW quintessence EoS taking

For

Finally, we examine the stability of Hayward thin-shell wormholes for

Now, we assume GCCG [

Plots for GCCG with parameters

Plots for GCCG with

Here, we assume MCCG model for exotic matter for which EoS is given by

Plots for MCCG with

Plots corresponding to MCCG with parameters

In this paper, we have constructed regular Hayward thin-shell wormholes by implementing Visser’s cut-and-paste technique and analyzed their stability by incorporating the effects of increasing values of Hayward parameter. The surface stresses have been found by using Lanczos equations. The sum of surface stresses of matter indicates the violation of NEC which is a fundamental ingredient in wormhole physics leading to the existence of exotic matter. It is found that the wormhole has attractive and repulsive characteristics corresponding to

It is found that one may construct a traversable wormhole theoretically with arbitrarily small amount of fluid describing cosmic expansion. In this context, we have analyzed stability of the regular Hayward thin-shell wormholes by taking VDW quintessence and GCCG and MCCG models at the wormhole throat. Firstly, we have investigated the possibility of stable traversable wormhole solutions using VDW quintessence EoS which describes cosmic expansion without the presence of exotic fluids. We have analyzed both stable and unstable wormhole configurations for small values of EoS parameter

In case of GCCG, we have analyzed fluctuating (stable and unstable) solutions for

The authors declare that they have no competing interests regarding the publication of this paper.