A new class of stable $(2+1)$ dimensional thin shell wormhole

Abstract

Recently, Bañados, Teitelboim and Zanelli (BTZ) \cite{BTZ1992} has discovered an explicit vacuum solution of (2+1)-dimensional gravity with negative cosmological constant. It has been argued that the existence of such physical systems with an event horizon and thermodynamic properties similar to (3+1) dimensional black holes. These vacuum solutions of (2+1)-dimensional gravity are asymptotically anti-de Sitter and are known as BTZ black holes. We provide a new type of thin-shell stable wormhole from the BTZ black holes. This is the first example of stable thin shell wormhole in (2+1)-dimension. Several characteristics of this thin-shell wormhole have been discussed.

7 pages and 7 figures

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• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• Linear stability analysis of a rotating thin-shell wormhole
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• Stability of Thin-Shell Wormholes from Noncommutative BTZ Black Hole
• Canonical Acoustic Thin-Shell Wormholes
• Charged shells in a (2+1)-dimensional spacetime
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• On a Particular Thin-shell Wormhole
• Thin shells in (2+1)-dimensional F(R) gravity
• Thin-Shell Wormholes in Neo-Newtonian Theory
• Higher dimensional charged BTZ-like wormhole
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• Singularity free stars in (2+1) dimensions
• Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes
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• Charged star in (2+1)-dimensional gravity