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

TL;DR

This paper constructs and analyzes spherically symmetric thin-shell wormholes in quadratic F(R) gravity, demonstrating conditions for their stability and the existence of static solutions with mass and charge.

Contribution

It introduces a new class of thin-shell wormholes in quadratic F(R) gravity with a double layer and analyzes their stability under spherical perturbations.

Findings

Stable static solutions exist for certain parameter values.

The junction conditions relate pressure and energy density at the throat.

Configurations with mass and charge can be stable.

Abstract

We present a family of spherically symmetric Lorentzian wormholes in quadratic F(R) 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 thin-shell wormholes with mass and charge. We find that there exist values of the parameters for which stable static solutions are possible.