Stability of thin-shell wormholes from noncommutative BTZ black hole

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 = ωρ with ω < 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 β (speed of sound).

Thermodynamic stability of charged BTZ black holes: ensemble dependency problem and its solution

“…Due to the fact that these solutions being asymptotically AdS, there has been various studies regarding AdS/CFT correspondence [21][22][23] . In addition, the noncommutative geometry in three dimensions has been of interest recently [24][25][26][27][28][29] and it was shown that gravitational Aharonov-Bohm effect could be originated from noncommutative BTZ black holes [30]. Moreover, in order to obtain quantum aspect of three dimensional gravity, entanglement and quantum loop entropy of the BTZ black holes have been investigated in literatures [31][32][33][34][35][36].…”

Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

“…Different three-dimensional geometries were investigated over the years in relation to black holes [54,55] and wormholes [56][57][58][59][60]. Thin shells of matter [61] as well as thin-shell wormholes [62][63][64][65][66] were also widely examined. Black hole solutions with (2 + 1) dimensions in F(R) gravity have been found [67][68][69][70].…”

Nonlinear stability analysis of the Schwarzschild thin-shell wormholes

“…The idea was so practical which attracted intensive attentions from the gravity community. This can be seen from the papers published on the stability of the TSWs in different bulk spacetimes [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In spite of the fact that the linear stability formalism gives a reasonable solution about the local stability of the STSW but a relevant point has not received enough attentions.…”