Thin-shell wormholes in (2+1)-dimensional F(R) theories

TL;DR

This paper constructs and analyzes the stability of circular symmetric thin-shell wormholes in (2+1)-dimensional F(R) gravity with constant scalar curvature, including charged solutions with negative cosmological constant.

Contribution

It introduces a broad family of thin-shell wormholes in (2+1)-dimensional F(R) gravity and studies their stability under symmetric perturbations, highlighting conditions for stability.

Findings

Stable solutions exist with appropriate parameter choices.

Charged thin-shell wormholes with negative cosmological constant are constructed.

Stability depends on specific parameter values.

Abstract

We construct a broad family of thin-shell wormholes with circular symmetry in (2+1)-dimensional F(R) theories of gravity, with constant scalar curvature R. We study the stability of the static configurations under perturbations preserving the symmetry. We present charged thin-shell wormholes as examples of spacetimes with a negative cosmological constant. We show that stable solutions are possible when suitable values of the parameters are taken.