Spherical thin shells in F(R) gravity: construction and stability

TL;DR

This paper develops a formalism for constructing and analyzing the stability of spherical thin shells in F(R) gravity, identifying conditions for stable static configurations including charged bubbles.

Contribution

It introduces a general method for building and assessing the stability of spherical thin shells in F(R) gravity, including charged bubble configurations.

Findings

Stable static configurations exist for specific parameter sets.

The junction conditions determine the shell's equation of state.

The formalism applies to charged bubble models.

Abstract

We present a broad class of spherical thin shells of matter in F(R) gravity. We show that the corresponding junction conditions determine the equation of state between the energy density and the pressure/tension at the surface. We analyze the stability of the static configurations under perturbations preserving the symmetry. We apply the formalism to the construction of charged bubbles and we find that there exist stable static configurations for a suitable set of the parameters of the model.