Stability of Thin-Shell Wormholes from Noncommutative BTZ Black Hole

TL;DR

This paper constructs and analyzes the stability of thin-shell wormholes derived from noncommutative BTZ black holes in (2+1) dimensions, focusing on matter properties and perturbation responses.

Contribution

It introduces a method to build and examine the stability of thin-shell wormholes from noncommutative BTZ black holes using Darmois-Israel formalism and linearized perturbation analysis.

Findings

Wormholes are supported by matter violating energy conditions.

Stability depends on the dark energy equation of state parameter w.

Linearized radial perturbations reveal conditions for stable wormhole configurations.

Abstract

In this paper, we construct thin-shell wormholes in (2+1)-dimensions from noncommutative BTZ black hole by applying the cut-and-paste procedure implemented by Visser. We calculate the surface stresses localized at the wormhole throat by using the Darmois-Israel formalism, and we find that the wormholes are supported by matter violating the energy conditions. In order to explore the dynamical analysis of the wormhole throat, we consider that the matter at the shell is supported by dark energy equation of state P = w\rho with w < 0. The stability analysis is carried out of these wormholes to linearized spherically symmetric perturbations around static solutions. Preserving the symmetry we also consider the linearized radial perturbation around static solution to investigate the stability of wormholes which explored by the parameter \beta (speed of sound).