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 toar>0andar<0, respectively. We also explore stability conditions for the existence of traversable thin-shell wormholes with arbitrarily small amount of fluid describing cosmic expansion. We find that the space-time has nonphysical regions which give rise to event horizon for0<a0<2.8and the wormhole becomes nontraversable producing a black hole. The nonphysical region in the wormhole configuration decreases gradually and vanishes for the Hayward parameterl=0.9. It is concluded that the Hayward and Van der Waals quintessence parameters increase the stability of thin-shell wormholes.
Highlights
One of the most interesting attributes of general relativity is the possible existence of hypothetical geometries having nontrivial topological structure
Some physical properties of spherical traversable wormholes [25] as well as stability of cylindrical thin-shell wormholes [26, 27] have been studied in the context of generalized cosmic Chaplygin gas (GCCG), modified cosmic Chaplygin gas (MCCG), and Van der Waals (VDW) quintessence equation of state (EoS)
Surface stresses have been found by using Lanczos equations
Summary
One of the most interesting attributes of general relativity is the possible existence of hypothetical geometries having nontrivial topological structure. 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 Visserâs cut-and-paste procedure and discussed their stability. Sharif and Mumtaz analyzed stable wormhole solutions from regular ABG [14] and ABGB [15] space-time in the context of different cosmological models for exotic matter. Some physical properties of spherical traversable wormholes [25] as well as stability of cylindrical thin-shell wormholes [26, 27] have been studied in the context of GCCG, MCCG, and Van der Waals (VDW) quintessence EoS. We provide summary of the obtained results in the last section
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