Stability of the Regular Hayward Thin-Shell Wormholes

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 nontraversable 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.

Thin-shell wormholes from compact stellar objects

“…Introduced by Hayward [13], this is referred to as a Hayward black hole in Refs. [14,15]. Line element (16) contains two free parameters, l and m; l is called the Hayward parameter, while m will be interpreted as the mass of the black hole.…”

“…Thin-shell wormholes from Hayward black holes are discussed in Refs. [14,15]. It is apparent that for large r, the Hayward black hole becomes a Schwarzschild spacetime.…”

“…Now, Refs. [14,15] note that for a Hayward black hole, there is a critical value (l/m) 2 = 16/27 corresponding to a regular extremal black hole. The smaller value (l/m) 2 < 16/27 admits a double horizon.…”

Nonsingular Black Holes in $4D$ Einstein--Gauss--Bonnet Gravity

“…Hayward black hole can be shown as exact model of general relativity coupled to nonlinear electrodynamics and hence attracted significant attention in various studies, like Quasinormal modes of the black holes Lin by et al [9], the geodesic equation of a particle by Chiba and Kimura [10], wormholes from the regular black hole [11,12] with their stability [13], black hole thermodynamics [14,15] and related properties [16,17], and strong deflection lensing [18]. The rotating regular Hayward metric has been also studied [19][20][21][22] and Hayward black hole solution in EGB has been discussed in [23].…”

Quasinormal Modes of Extended Gravity Black Holes

“…Hayward BH has attracted extraordinary attention in innumerable studies, like QNM of the Hayward BH proposed by Lin et al [19]. Furthermore, thin-shell wormhole construction from the Hayward (regular) BH [20] and their detailed stability analysis [21], and strong deflection gravitational lensing [22] by a modified Hayward BH [23] are also studied. The Hayward's metric was also considered as a particle accelerator [24].…”