Intra--Galactic thin shell wormhole and its stability

TL;DR

This paper constructs a thin shell wormhole within galactic spacetime using conformal gravity, analyzing its stability under spherical perturbations and identifying conditions for stability.

Contribution

It introduces a new model of intra-galactic wormholes in conformal gravity and examines their stability with Chaplygin gas as the shell material.

Findings

Wormhole is generally unstable but has a small stable radius interval.

Stability depends on specific parameter values.

Qualitative analysis supports the stability conditions.

Abstract

In this paper, we construct an intra-galactic thin shell wormhole joining two copies of identical galactic space times described by the Mannheim-Kazanas de Sitter solution in conformal gravity and study its stability under spherical perturbations. We assume the thin shell material as a Chaplygin gas and discuss in detail the values of the relevant parameters under which the wormhole is stable. We study the stability following the method by Eiroa and we also qualitatively analyze the dynamics through the method of Weierstrass. We find that the wormhole is generally unstable but there is a small interval in radius for which the wormhole is stable.