Thin shells in F(R) gravity with non-constant scalar curvature

TL;DR

This paper explores the construction and stability of thin shells in non-quadratic F(R) gravity with non-constant scalar curvature, including black hole and wormhole scenarios, demonstrating conditions for stable configurations.

Contribution

It introduces new classes of spherically symmetric thin shells in F(R) gravity with non-constant R, analyzing their stability and providing specific examples like charged shells and wormholes.

Findings

Stable thin shell solutions are possible under certain parameter conditions.

Charged shells around black holes can be stable.

Charged wormhole shells can also achieve stability.

Abstract

We introduce two classes of spherically symmetric spacetimes having a thin shell of matter, in non-quadratic F(R) theories of gravity with non-constant scalar curvature R. In the first, the thin shell joins an inner region with an outer one, while in the second it corresponds to the throat of a wormhole. In both scenarios, we analyze the stability of the static configurations under radial perturbations. As particular examples in spacetimes with a cosmological constant, we present charged thin shells surrounding a non-charged black hole and charged thin-shell wormholes. We show that in both cases stable solutions are possible for suitable values of the parameters.