# Thin-Shell Wormholes in Neo-Newtonian Theory

## TL;DR

This paper constructs and analyzes the stability of an acoustic thin-shell wormhole within neo-Newtonian theory, exploring how different fluids and parameters affect its stability and the necessity of negative energy at the throat.

## Contribution

It introduces a novel neo-Newtonian framework for acoustic wormholes and investigates their stability with various fluid models and parameters, highlighting the conditions for stability.

## Key findings

- Stable wormholes require negative energy at the throat.
- Proper neo-Newtonian parameters can ensure stability.
- Different fluid types influence the stability conditions.

## Abstract

In this paper, we constructed an acoustic thin-shell wormhole (ATW) under neo-Newtonian theory using the Darmois-Israel junction conditions. To determine the stability of the ATW by applying the cut-and-paste method, we found the surface density and surface pressure of the ATW under neo-Newtonian hydrodynamics just after obtaining an analog acoustic neo-Newtonian solution. We focused on the effects of the neo-Newtonian parameters by performing stability analyses using different types of fluids, such as a linear barotropic fluid (LBF), a Chaplygin fluid (CF), a logarithmic fluid (LogF), and a polytropic fluid (PF). We showed that a fluid with negative energy is required at the throat to keep the wormhole stable. The ATW can be stable if suitable values of the neo-Newtonian parameters $\varsigma$, $A$, and $B$ are chosen.