# Thin shells surrounding black holes in F(R) gravity

## TL;DR

This paper investigates the stability of spherical thin shells around black holes in F(R) gravity, showing that stable configurations depend on specific parameter choices, especially for charged shells outside non-charged black holes.

## Contribution

It introduces an analysis of thin shell stability in F(R) gravity, extending previous studies to include charged shells and parameter-dependent stability conditions.

## Key findings

- Stable thin shells are possible with proper parameter selection.
- Charged shells outside non-charged black holes can be stable.
- Stability depends on the specific parameters of the F(R) model.

## Abstract

In this article, we consider spherical thin shells of matter surrounding black holes in F(R) theories of gravity. We study the stability of the static configurations under perturbations that conserve the symmetry. In particular, we analyze the case of charged shells outside the horizon of non--charged black holes. We obtain that stable static thin shells are possible if the values of the parameters of the model are properly selected.