Thin-shell wormholes and modified Chaplygin gas with relativistic corrections

Abstract

Abstract In this paper, we analyze thin-shell wormholes from two identical copies of charged static cylindrically symmetric spacetimes using Visser’s ‘cut and paste’ approach under the influence of f(R, T) gravity Harko, Lobo, Nojiri, and Odintsov (2011, Phys. Rev. D 84, 024020). In this scenario, the modified Chaplygin gas supports the exotic matter in the shell which allows, one to examine the dynamics of constructed wormholes. We utilize the junction condition to connect the interior and exterior geometries across the hypersurface and calculate different components of the Lanczos equation recently computed by Roza in Rosa (2021, Phy. Rev. D 103, 104069). We analyze the stability of the thin-shell wormhole models under linear perturbations while keeping the cylindrical symmetry and also examine the influence of charge on their stability. The positive quantity of the second derivative of potential at the throat radius might be interpreted as the stability criterion. We find both unstable and stable wormhole solutions for different parameters included in the equation of state and specific forms of considered gravity and illustrate them theoretically as well as graphically. We examine the impact of electric charge on the stability region of a constructed wormhole, which suggests that a wormhole model with a charge may exhibit more stable behavior compared to an uncharged system.