A New Class of Stable (2+1) Dimensional Thin Shell Wormhole

Abstract

Recently, Bañados, Teitelboim and Zanelli (BTZ) [1] 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.

General formalism for the stability of thin-shell wormholes in $$2+1$$ 2 + 1 dimensions

“…[35][36][37][38][39]. Shells in a e-mail: cbejarano@iafe.uba.ar b e-mail: eiroa@iafe.uba.ar c e-mail: csimeone@df.uba.ar a three-dimensional background within Einstein-Maxwell theory have been associated to thin-shell wormholes [40,41], and the analysis of 2 + 1-dimensional charged shells around vacuum and around black holes in Born-Infeld electrodynamics was introduced in our paper [42]. Cylindrical thinshell wormholes have also been studied, which because of their symmetry along their axis constitute a related problem; see for instance Refs.…”

Rotating thin-shell wormhole

“…Moreover, there are only a few works on the rotating thin-shell wormholes (RTSWs) built in 2+1 dimensions and in 3+1 dimensions with some approximations [4,5]. On the other hand, there are many papers demonstrating the construction of thin-shell wormholes using different modified theories or extra/lower dimensions [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Recently, a rotating thin-shell wormhole was constructed and its thermodynamics worked in 2+1 dimensions, where the problem is more malleable than in four or more dimensions [4].…”

Stability of thin-shell wormholes from noncommutative BTZ black hole

“…Inspired by this work we provide thin-shell wormholes from noncommutative BTZ black hole in (2+1)-dimensional gravity. A well studied of thin-shell wormholes in lower dimensional gravity have been found in [67][68][69][70][71].…”