Nonlinear Stability of the Bardeen–De Sitter Wormhole in f(R) Gravity

This paper discusses the nonlinear stability of a thin-shell wormhole from a regular black hole in Bardeen–de Sitter spacetime in the f(R) gravity framework. The stability is examined under the linear perturbation about static solution and a nonlinear variable equation of state, such as the modified generalized Chaplygin gas. The stability solutions for a suitable choice of different parameters included in the variable equation of state and f(R) gravity models, as well as the metric space–time, are illustrated.