Wormholes stability from a class of (2 + 1)-dimensional regular black holes

Here, we investigate the stability, and the effect of different parameters on the stability, of a class of nonrotating thin-shell wormholes formed by nonrotating lower-dimensional non-linear electrodynamics regular black holes. We find that the event horizon radius shifts outward when the parameter $L$ and the black hole charge are increased, as seen in the graph of the metric function ($G\left(r\right)$). This suggests that these factors significantly affect the location of the horizon. Furthermore, the black hole’s mass is critical; wormholes with larger masses are more stable, whereas wormholes with smaller masses have smaller stability zones. As the equation of state parameter varies across multiple values, more research reveals the effect of diverse matter compositions on the stability of nonrotating thin-shell wormholes. We identify stable configurations with a concave-up potential function for configurations where $\chi >-1/3$. On the other hand, dark energy configurations ($\chi <-1/3$) are stable as well, whereas phantom energy configurations ($\chi <-1$) cause instability with a concave-down potential. An examination of generalized Chaplygin gas reveals that specific kinds of matter can cause wormhole structures to become unstable. This sheds light on the intricate yet vital connection between the state equations and the stability of thin-shell wormholes, which can direct subsequent theoretical investigations in spacetime physics.