On a Particular Thin-shell Wormhole

TL;DR

This paper constructs a scalar thin-shell wormhole in 2+1 dimensions from a black hole with scalar hair, analyzing its stability under various conditions and parameters.

Contribution

It introduces a new scalar thin-shell wormhole model derived from a black hole with scalar hair using the cut-and-paste method and studies its stability with different gas models.

Findings

Stability region depends on parameters 'l' and 'u'.

The wormhole can be more stable with specific 'l' values.

Exotic matter is still required for stability.

Abstract

In this paper, using a black hole with scalar hair, we construct a scalar thin-shell wormhole (TSW) in 2+1 dimensions by applying the Visser's famous cut and paste technique. The surface stress, which is concentrated at the wormhole throat is determined by using the Darmois-Israel formalism. By employing the various gas models, we study the stability analysis of the TSW. The region of stability is changed by tuning the parameters of "l" and "u". It is observed that the obtained particular TSW originated from the black hole with scalar hair could be more stable with particular $l$ parameter, however it still needs exotic matter.