Canonical Acoustic Thin-Shell Wormholes

TL;DR

This paper models a canonical acoustic thin-shell wormhole using analogue gravity systems, analyzing stability with various exotic fluids and showing that negative energy at the throat is necessary for stability.

Contribution

It introduces a new model of acoustic thin-shell wormholes and examines their stability with different exotic fluids using the Darmois-Israel formalism.

Findings

Stable configurations require negative energy at the throat.

Certain parameter choices lead to stable wormholes.

Different fluids affect the stability conditions.

Abstract

In this paper we model a canonical acoustic thin shell wormhole (CATSW) in the framework of analogue gravity systems. In this model we apply cut and paste technique to join together two spherically symmetric, analogue canonical acoustic solutions, and compute the analogue surface density/surface pressure of the fluid using the Darmois- Israel formalism. We study the stability analyses by using a linear barotropic fluid (LBF), chaplygin fluid (CF), logarithmic fluid (LogF), polytropic fluid (PF), and finally Van der Waals Quintessence (VDWQ). We show that a kind of analog acoustic fluid with negative energy is required at the throat to keep the wormhole stable. It is argued that, CATSW can be a stabile thin-shell wormhole if we choose a suitable parameter values.