scholarly journals Note on linearized stability of Schwarzschild thin-shell wormholes with variable equations of state

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Victor Varela
Keyword(s):  
Thin Shell ◽  
Equations Of State ◽  
Linearized Stability ◽  
Thin Shell Wormholes

Stability of charged rotating (2 + 1)-dimensional wormholes

2020 ◽  
Vol 29 (01) ◽  
pp. 2050007 ◽  
Author(s):  
M. Sharif ◽  
Faisal Javed
Keyword(s):  
Thin Shell ◽  
Geometrical Structure ◽  
Energy Tensor ◽  
Exterior Region ◽  
Barotropic Fluid ◽  
Linearized Stability ◽  
Stress Energy ◽  
Thin Shell Wormholes ◽  
The Stability ◽  
Fast Rotating

This paper investigates the effects of charge on linearized stability of rotating thin-shell wormholes (WHs) filled with a barotropic fluid. We use Visser cut and paste technique to construct thin-shell from charged rotating Bañados–Teitelboim–Zanelli (BTZ) black holes (BHs). The components of stress-energy tensor are evaluated through Israel thin-shell formalism. The angular momentum for both interior as well as exterior region at the WH throat remains the same but opposite in direction, i.e. thin-shell WH at the throat is counter-rotated. It is found that the geometrical structure of WHs is more stable for highly charged and fast rotating thin-shell. We conclude that the stability regions of charged rotating WHs are larger than the uncharged rotating WHs.

scholarly journals Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes

2019 ◽  
Author(s):  
Hassan Alshal
Keyword(s):  
Thin Shell ◽  
Magnetic Charge ◽  
Energy Conditions ◽  
De Sitter ◽  
Throat Radius ◽  
Radial Acceleration ◽  
Linearized Stability ◽  
Static Solutions ◽  
Regions Of Stability ◽  
Thin Shell Wormholes

A thin-shell wormhole is crafted by the cut-and-paste method of two Bardeen de-Sitter black holes using Darmois-Israel formalism. Energy conditions are considered for different values of magnetic charge while both mass and cosmological constant are fixed. The attractive and repulsive characteristics of the throat of the thin-shell wormhole are also examined through the radial acceleration. Dynamics and stability of the wormhole are studied around the static solutions of the linearized radial perturbations at the throat of the wormhole. The regions of stability are determined by checking out the condition of concavity of the potential as a function in the throat radius for different values of magnetic charges.

Dynamics of thin-shell wormholes with rotational effects

2020 ◽  
Vol 35 (05) ◽  
pp. 2050030 ◽  
Author(s):  
M. Sharif ◽  
Saadia Mumtaz ◽  
Faisal Javed
Keyword(s):  
Equation Of State ◽  
Thin Shell ◽  
Proper Time ◽  
Kerr Black Hole ◽  
State Parameter ◽  
Energy Conditions ◽  
Throat Radius ◽  
Linearized Stability ◽  
Barotropic Equation ◽  
Thin Shell Wormholes

This paper is devoted to the study of the stability of thin-shell wormholes from Kerr black hole. We employ Israel thin-shell formalism to evaluate surface stresses and study the behavior of energy conditions. The linearized stability of rotating thin-shell wormholes is analyzed by taking two different candidates of dark energy as exotic matter at thin-shell. It is found that generalized phantom model ([Formula: see text] which reduces to phantom equation of state as [Formula: see text] and [Formula: see text], where [Formula: see text] is wormhole throat radius and [Formula: see text] is the proper time) yields more stable wormhole solutions as compared to the barotropic equation of state ([Formula: see text], [Formula: see text] is the equation of state parameter and [Formula: see text] is the surface density) for particular ranges of equilibrium throat radius and the whole range of [Formula: see text].

Rotating thin-shell wormholes with scalar field

2019 ◽  
Vol 34 (25) ◽  
pp. 1950206
Author(s):  
M. Sharif ◽  
Saadia Mumtaz
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Thin Shell ◽  
Energy Conditions ◽  
Massive Scalar ◽  
Radial Acceleration ◽  
Massive Scalar Field ◽  
Linearized Stability ◽  
Scalar Field Models ◽  
Thin Shell Wormholes

In this paper, we construct (2 + 1)-dimensional thin-shell wormholes from rotating Bañados–Teitelboim–Zanelli black hole and discuss their stability with the influence of scalar field at thin-shell. We apply Israel thin-shell formalism to evaluate surface stresses and study the behavior of energy conditions. We also study attractive and repulsive characteristics of the respective wormhole configurations according to the direction of radial acceleration. The linearized stability of rotating thin-shell wormholes is analyzed by assuming three different scalar field models at thin-shell. It is found that the increasing rate of angular momentum appears as an effective ingredient for stable wormholes while electric charge does not provide significant results in this regard. We conclude that less massive scalar field yields more stable 3D wormhole solutions.

scholarly journals Perturbative dynamics of thin-shell wormholes beyond general relativity: An alternative approach

2017 ◽  
Vol 27 (01) ◽  
pp. 1750171 ◽  
Author(s):  
Emilio Rubín de Celis ◽  
Cecilia Tomasini ◽  
Claudio Simeone
Keyword(s):  
General Relativity ◽  
Thin Shell ◽  
Equations Of State ◽  
Thin Shells ◽  
Strong Restriction ◽  
Alternative Approach ◽  
Thin Shell Wormholes

Recent studies relating the approximations for the equations-of-state for thin shells and their consequent perturbative evolution are extended to thin-shell wormholes in theories beyond general relativity and more than four spacetime dimensions. The assumption of equations-of-state of the same form for static and slowly evolving shells appears as a strong restriction excluding the possibility of oscillatory evolutions. Then the new results considerably differ from previous ones obtained within the usual linearized approach.

Linearized stability of cylindrical thin-shell wormholes

2016 ◽  
Vol 94 (2) ◽  
pp. 158-169 ◽  
Author(s):  
M. Sharif ◽  
Saadia Mumtaz
Keyword(s):  
Thin Shell ◽  
Chaplygin Gas ◽  
Energy Conditions ◽  
Energy Tensor ◽  
Generalized Chaplygin Gas ◽  
Linearized Stability ◽  
Unstable Solutions ◽  
Thin Shell Wormholes ◽  
The Stability ◽  
Generalized Cosmic Chaplygin Gas

The objective of this paper is to investigate the stability of cylindrical thin-shell wormholes. We follow the Visser’s cut and paste approach for the construction of thin-shell. The Darmois–Israel formalism is used to determine the stress–energy tensor. The null and weak energy conditions as well as attractive and repulsive characteristics of thin-shell wormholes are analyzed. We find both stable and unstable solutions by taking dark energy, generalized cosmic Chaplygin gas, and modified cosmic Chaplygin gas models as exotic matter at the wormhole throat. Finally, we compare our results with those for modified generalized Chaplygin gas model.

scholarly journals Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes

2019 ◽  
Author(s):  
Hassan Alshal
Keyword(s):  
Black Holes ◽  
Thin Shell ◽  
De Sitter ◽  
Linearized Stability ◽  
Static Solutions ◽  
Thin Shell Wormholes

A thin-shell wormhole is crafted by the cut-and-paste method of two Bardeen de-Sitter black holes using Darmois-Israel formalism. Dynamics and stability of the wormhole is also studied around the static solutions of the linearized radial perturbations at the throat of the wormhole.

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