Thin-shell wormholes in f(R)-gravity coupled with nonlinear electrodynamics

Abstract

We study the possibility of constructing thin-shell wormhole (TSW) in a particular $f\left( R\right)$-gravity model with nonconstant Ricci scalar and coupled minimally with nonlinear electromagnetic fields. In doing so, first we give a new static spherically symmetric solution of the theory. Then we apply the cut-and-paste method to construct the TSW. As $f^{\prime \prime \prime }\left( R\right) \ne 0$ we use the specific junction conditions to match the two spacetimes. We find the exact equilibrium radius of the shell from non-black hole solution and show that a linear perturbation leaves the TSW stable.