# Stability of Effective Thin-shell Wormholes Under Lorentz Symmetry Breaking Supported by Dark Matter and Dark Energy

## TL;DR

This study investigates the stability of spherically symmetric thin-shell wormholes influenced by Lorentz symmetry breaking, dark matter, and dark energy, using cosmological data to identify stable configurations.

## Contribution

It introduces a master equation for stability analysis of thin-shell wormholes within the dark sector, including a specific Lorentz symmetry breaking solution and stability criteria based on observational data.

## Key findings

- Stable wormhole solutions exist with suitable Lorentz symmetry breaking parameters.
- Cosmological constraints support the stability of these wormholes.
- The model unifies dark matter and dark energy effects in wormhole stability analysis.

## Abstract

In this paper, we construct generic, spherically symmetric thin-shell wormholes and check their stabilities using the unified dark sector, including dark energy and dark matter. We give a master equation, from which one can recover, as a special case, other stability solutions for generic spherically symmetric thin-shell wormholes. In this context, we consider a particular solution; namely we construct an effective thin-shell wormhole under Lorentz symmetry breaking. We explore stability analyses using different models of the modified Chaplygin gas with constraints from cosmological observations such as seventh-year full Wilkinson microwave anisotropy probe data points, type Ia supernovae, and baryon acoustic oscillation. In all these models we find stable solutions by choosing suitable values for the parameters of the Lorentz symmetry breaking effect.