Circularly symmetric thin-shell wormholes in F(R) gravity with (2+1)-dimensions

TL;DR

This paper constructs and analyzes the stability of circularly symmetric thin-shell wormholes in (2+1)-dimensional F(R) gravity with constant scalar curvature, demonstrating stable configurations with normal matter under certain conditions.

Contribution

It introduces a new class of thin-shell wormholes in (2+1)-dimensional F(R) gravity and examines their stability, which was not previously explored in this context.

Findings

Stable wormhole configurations with normal matter are possible.

Asymptotically anti-de Sitter charged wormholes can be stable.

Stability depends on specific parameter ranges.

Abstract

Within the framework of $F(R)$ theories of gravity with (2+1)-dimensions and constant scalar curvature $R$, we construct a family of thin-shell wormholes with circular symmetry and we analyze the stability of the static configurations under radial perturbations. We show an example of asymptotically anti-de Sitter thin-shell wormholes with charge, finding that stable configurations with normal matter are possible for a suitable range of the parameters.