This paper is devoted to the phase space analysis of an isotropic and homogeneous model of the universe by taking a noninteracting mixture of the electromagnetic and viscous radiating fluids whose viscous pressure satisfies a nonlinear version of the Israel-Stewart transport equation. We establish an autonomous system of equations by introducing normalized dimensionless variables. In order to analyze the stability of the system, we find corresponding critical points for different values of the parameters. We also evaluate the power-law scale factor whose behavior indicates different phases of the universe in this model. It is concluded that the bulk viscosity as well as electromagnetic field enhances the stability of the accelerated expansion of the isotropic and homogeneous model of the universe.

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.

This paper is devoted to construct Schwarzschild-de Sitter and anti-de Sitter thin-shell wormholes by employing Visser’s cut and paste technique. The Darmois-Israel formalism is adopted to formulate the surface stresses of the shell. We analyze null and weak energy conditions as well as attractive and repulsive characteristics of thin-shell wormholes. We also explore stable and unstable solutions against linear perturbations by taking two different Chaplygin gas models for exotic matter. It is concluded that the stress-energy tensor components violate the null and weak energy conditions indicating the existence of exotic matter at the wormhole throat. Finally, we find unstable and stable configurations for the constructed thin-shell wormholes.

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The aim of this paper is to discuss stability of regular thin-shell wormholes coupled with non-linear electrodynamics and cosmological constant. The surface stresses are formulated by using Lanczos equations. We examine attractive and repulsive behavior of these constructed wormholes corresponding to outward and inward-directed acceleration components, respectively. We also investigate stability conditions for the existence of traversable thin-shell wormholes with arbitrarily small amount of different fluids as exotic matter. We consider linear, logarithmic and Chaplygin gas models and find that a modified generalized Chaplygin gas model provides maximum viable regions for stability of the respective thin-shell wormholes. It is found that formation of stable regions for ABGB thin-shell wormholes highly depends on the physically acceptable range of charge and other parameters.