Abstract
•Apply Darmois-Israel formalism and matching two solutions across the singular surface.•The equations of motion of thin shell wormholes in Reissner–Nordstrom are deduced.•The equation of state of a polytropic gas is considered.•Stability analyses by linear radial perturbations around static solutions are proposed.
In the framework of Darmois-Israel formalism, the general equations describing the motion of thin shell wormhole with a general form of equation of state of a polytropic gas are derived. The mechanical stability analysis of thin shell wormhole with charge in Reissner–Nordstrom (RN) to linearized spherically symmetric perturbation about static equilibrium solution is carried out.