Thin-shell wormholes with a double layer in quadratic F(R) gravity

Abstract

We present a family of spherically symmetric Lorentzian wormholes in quadratic FðRÞ gravity, with a thin shell of matter corresponding to the throat. At each side of the shell, the geometry has a different constant value of the curvature scalar R. The junction conditions determine the equation of state between the pressure and energy density at the throat, where a double layer is also located. We analyze the stability of the configurations under perturbations preserving the spherical symmetry. In particular, we study thinshell wormholes with mass and charge. We find that there exist values of the parameters for which stable static solutions are possible.