scholarly journals CYLINDRICAL THIN-SHELL WORMHOLES AND ENERGY CONDITIONS

2012 ◽  
Vol 21 (02) ◽  
pp. 1250015 ◽  
Author(s):  
CLAUDIO SIMEONE
Keyword(s):  
Asymptotic Behavior ◽  
Thin Shell ◽  
Necessary Conditions ◽  
Energy Conditions ◽  
Thin Shell Wormholes

We prove the impossibility of cylindrical thin-shell wormholes supported by matter satisfying the energy conditions everywhere, under reasonable assumptions about the asymptotic behavior of the –in general different–metrics at each side of the throat. Besides, we establish necessary conditions for the possibility of non-exotic thin-shell wormholes.

scholarly journals Stability of thin-shell wormholes from noncommutative BTZ black hole

2015 ◽  
Vol 24 (05) ◽  
pp. 1550034 ◽  
Author(s):  
Piyali Bhar ◽  
Ayan Banerjee
Keyword(s):  
Black Hole ◽  
Thin Shell ◽  
Static Solution ◽  
Dynamical Analysis ◽  
Energy Conditions ◽  
Btz Black Hole ◽  
Wormhole Throat ◽  
Radial Perturbation ◽  
Thin Shell Wormholes ◽  
The Stability

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 (EoS) 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 was explored by the parameter β (speed of sound).

scholarly journals Stability of the Regular Hayward Thin-Shell Wormholes

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
M. Sharif ◽  
Saadia Mumtaz
Keyword(s):  
Black Hole ◽  
Thin Shell ◽  
Energy Conditions ◽  
Stability Conditions ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Cosmic Expansion ◽  
Stress Energy ◽  
Thin Shell Wormholes ◽  
The Stability

The aim of this paper is to construct regular Hayward thin-shell wormholes and analyze their stability. We adopt Israel formalism to calculate surface stresses of the shell and check the null and weak energy conditions for the constructed wormholes. It is found that the stress-energy tensor components violate the null and weak energy conditions leading to the presence of exotic matter at the throat. We analyze the attractive and repulsive characteristics of wormholes corresponding toar>0andar<0, respectively. We also explore stability conditions for the existence of traversable thin-shell wormholes with arbitrarily small amount of fluid describing cosmic expansion. We find that the space-time has nonphysical regions which give rise to event horizon for0<a0<2.8and the wormhole becomes nontraversable producing a black hole. The nonphysical region in the wormhole configuration decreases gradually and vanishes for the Hayward parameterl=0.9. It is concluded that the Hayward and Van der Waals quintessence parameters increase the stability of thin-shell wormholes.

scholarly journals Thin-shell wormholes in de Rham–Gabadadze–Tolley massive gravity

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Takol Tangphati ◽  
Auttakit Chatrabhuti ◽  
Daris Samart ◽  
Phongpichit Channuie
Keyword(s):  
Thin Shell ◽  
Correction Term ◽  
Massive Gravity ◽  
Energy Conditions ◽  
Anisotropic Pressure ◽  
Spacetime Geometry ◽  
Classical Energy ◽  
De Rham ◽  
Thin Shell Wormholes ◽  
The Stability

Abstract In this work, we study the thin-shell wormholes in dRGT massive gravity. In order to glue two bulks of the spacetime geometry, we first derive junction conditions of the dRGT spacetime. We obtain the dynamics of the spherical thin-shell wormholes in the dRGT theory. We show that the massive graviton correction term of the dRGT theory in the Einstein equation is represented in terms of the effective anisotropic pressure fluid. However, if there is only this correction term, without invoking exotic fluids, we find that the thin-shell wormholes cannot be stabilized. We then examine the stability conditions of the wormholes by introducing four existing models of the exotic fluids at the throat. In addition, we analyze the energy conditions for the thin-shell wormholes in the dRGT massive gravity by checking the null, weak, and strong conditions at the wormhole throat. We show that in general the classical energy conditions are violated by introducing all existing models of the exotic fluids. Moreover, we quantify the wormhole geometry by using the embedding diagrams to represent a thin-shell wormhole in the dRGT massive gravity.

scholarly journals Schwarzschild-de Sitter and Anti-de Sitter Thin-Shell Wormholes and Their Stability

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
M. Sharif ◽  
Saadia Mumtaz
Keyword(s):  
Thin Shell ◽  
Chaplygin Gas ◽  
Exotic Matter ◽  
Energy Conditions ◽  
Energy Tensor ◽  
De Sitter ◽  
Stress Energy ◽  
Linear Perturbations ◽  
Unstable Solutions ◽  
Thin Shell Wormholes

This paper is devoted to construct Schwarzschild-de Sitter and anti-de Sitter thin-shell wormholes by employing Visser’s cut and paste technique. The Darmois-Israel formalism is adopted to formulate the surface stresses of the shell. We analyze null and weak energy conditions as well as attractive and repulsive characteristics of thin-shell wormholes. We also explore stable and unstable solutions against linear perturbations by taking two different Chaplygin gas models for exotic matter. It is concluded that the stress-energy tensor components violate the null and weak energy conditions indicating the existence of exotic matter at the wormhole throat. Finally, we find unstable and stable configurations for the constructed thin-shell wormholes.

scholarly journals Stability of Schwarzschild —f(R)-gravity thin-shell wormholes

2019 ◽  
Vol 34 (01) ◽  
pp. 1950006 ◽  
Author(s):  
Alina Khaybullina ◽  
Gulira Tuleganova
Keyword(s):  
External Force ◽  
Thin Shell ◽  
Energy Conditions ◽  
Shell Mass ◽  
Stability Regions ◽  
Geometrical Constraints ◽  
Thin Shell Wormholes ◽  
The Stability

Mazharimousavi and Halilsoy [S. H. Mazharimousavi and M. Halilsoy, Mod. Phys. Lett. A 31, 1650192 (2016)] recently proposed wormhole solutions in f(R)-gravity that satisfy energy conditions but are unstable. We show here that stability could still be achieved for thin-shell wormholes obtained by gluing the wormholes in f(R)-gravity with the exterior Schwarzschild vacuum. Using the new geometrical constraints from thin-shell “mass” and from external “force” developed by Garcia, Lobo and Visser, we demarcate and analyze the stability regions.

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.

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.

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