Thin shells in (2+1)-dimensional F(R) gravity

TL;DR

This paper investigates the stability of thin matter shells in (2+1)-dimensional F(R) gravity with constant scalar curvature, analyzing specific charged bubble and black hole configurations in anti-de Sitter spacetime.

Contribution

It introduces a study of thin shells in (2+1)-dimensional F(R) gravity, focusing on stability analysis and specific charged spacetime examples.

Findings

Stable shell solutions exist for certain parameter ranges.

Charged bubbles and shells can surround black holes in this framework.

Stability depends on the choice of parameters and configuration.

Abstract

We study thin shells of matter in (2+1)-dimensional F(R) theories of gravity with constant scalar curvature R. We consider a wide class of spacetimes with circular symmetry, in which a thin shell joins an inner region with an outer one. We analyze the stability of the static configurations under radial perturbations. As examples of spacetimes asymptotically anti-de Sitter, we present a charged bubble and a charged thin shell surrounding a non-charged black hole. In both cases, we show that stable solutions can be found for suitable values of the parameters.