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

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Cecilia Bejarano ◽  
Ernesto F. Eiroa ◽  
Griselda Figueroa-Aguirre
Keyword(s):  
Scalar Curvature ◽  
Thin Shell ◽  
Constant Scalar Curvature ◽  
De Sitter ◽  
Circular Symmetry ◽  
Theories Of Gravity ◽  
Thin Shell Wormholes ◽  
Stable Solutions ◽  
The Stability

AbstractWe construct a broad family of thin-shell wormholes with circular symmetry in $$(2+1)$$ ( 2 + 1 ) -dimensional F(R) theories of gravity, with constant scalar curvature R. We study the stability of the static configurations under perturbations preserving the symmetry. We present examples of charged thin-shell wormholes which are asymptotically anti-de Sitter at both sides of the throat. We show that stable solutions are possible when suitable values of the parameters are taken.

STABILITY ANALYSIS OF THIN SHELL WORMHOLES SUPPORTED BY THE MODIFIED CHAPLYGIN GAS

2009 ◽  
Vol 18 (13) ◽  
pp. 1977-1990 ◽  
Author(s):  
TANWI BANDYOPADHYAY ◽  
ANUSUA BAVEJA ◽  
SUBENOY CHAKRABORTY
Keyword(s):  
Stability Analysis ◽  
Equation Of State ◽  
Thin Shell ◽  
Chaplygin Gas ◽  
Modified Chaplygin Gas ◽  
De Sitter ◽  
Static Solutions ◽  
Thin Shell Wormholes ◽  
Stable Solutions ◽  
The Stability

In this work, the stability of static solutions of spherical thin shell wormholes is analyzed when a slight perturbation (which preserves the basic symmetry) is applied to them. The modified Chaplygin gas (with α = 1 in the equation of state) has been chosen as a candidate for exotic matter needed around the throat. Different cases for such thin shell wormhole construction have been studied, viz. wormholes constructed from Schwarzschild, Schwarzschild–de Sitter, Schwarzschild–anti-de Sitter and Reissner–Nordström metrics. Depending upon the values of the parameters and some restrictions obeyed by them, static stable solutions are seen to exist in some cases.

scholarly journals Thin-Shell Wormholes in Einstein and Einstein–Gauss–Bonnet Theories of Gravity

Universe ◽  
2020 ◽  
Vol 6 (11) ◽  
pp. 197
Author(s):  
Takafumi Kokubu ◽  
Tomohiro Harada
Keyword(s):  
Cosmological Constant ◽  
Electric Charge ◽  
Thin Shell ◽  
De Sitter ◽  
Negative Cosmological Constant ◽  
Special Cases ◽  
Theories Of Gravity ◽  
Thin Shell Wormholes ◽  
Theory Of Gravitation ◽  
The Stability

We review recent works on the possibility for eternal existence of thin-shell wormholes on Einstein and Einstein–Gauss–Bonnet gravity. We introduce thin-shell wormholes that are categorized into a class of traversable wormhole solutions. After that, we discuss stable thin-shell wormholes with negative-tension branes in Reissner–Nordström–(anti) de Sitter spacetimes in d-dimensional Einstein gravity. Imposing Z2 symmetry, we construct and classify traversable static thin-shell wormholes in spherical, planar and hyperbolic symmetries. It is found that the spherical wormholes are stable against spherically symmetric perturbations. It is also found that some classes of wormholes in planar and hyperbolic symmetries with a negative cosmological constant are stable against perturbations preserving symmetries. In most cases, stable wormholes are found with the appropriate combination of an electric charge and a negative cosmological constant. However, as special cases, there are stable wormholes even with a vanishing cosmological constant in spherical symmetry and with a vanishing electric charge in hyperbolic symmetry. Subsequently, the existence and dynamical stability of traversable thin-shell wormholes with electrically neutral negative-tension branes is discussed in Einstein–Gauss–Bonnet theory of gravitation. We consider radial perturbations against the shell for the solutions, which have the Z2 symmetry. The effect of the Gauss–Bonnet term on the stability depends on the spacetime symmetry.

scholarly journals TRAVERSABLE WORMHOLES IN A STRING CLOUD

2008 ◽  
Vol 17 (08) ◽  
pp. 1179-1196 ◽  
Author(s):  
MARTÍN G. RICHARTE ◽  
CLAUDIO SIMEONE
Keyword(s):  
Thin Shell ◽  
Dimensional Space ◽  
Space Time ◽  
Exotic Matter ◽  
Spherically Symmetric ◽  
Related Model ◽  
Traversable Wormholes ◽  
Dimensional Space Time ◽  
Thin Shell Wormholes ◽  
The Stability

We study spherically symmetric thin shell wormholes in a string cloud background in (3 + 1)-dimensional space–time. The amount of exotic matter required for the construction, the traversability and the stability of such wormholes under radial perturbations are analyzed as functions of the parameters of the model. In addition, in the appendices a nonperturbative approach to the dynamics and a possible extension of the analysis to a related model are briefly discussed.

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).

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 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.

Stability of charged Kiselev thin-shell wormholes

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040015
Author(s):  
Muhammad Sharif ◽  
Faisal Javed
Keyword(s):  
Black Holes ◽  
Equation Of State ◽  
Thin Shell ◽  
Unstable Behavior ◽  
Wormhole Throat ◽  
Barotropic Equation ◽  
Thin Shell Wormholes ◽  
The Stability

This work is devoted to exploring the stability of thin-shell wormholes developed from two equivalent copies of charged quintessence (charged Kiselev) black holes by using Visser cut and paste approach. The characteristics of the surface matter of the shell are determined by using Israel formalism. We examine the stability of thin-shell by assuming a barotropic equation of state for the surface matter of the wormhole throat. We conclude that wormhole becomes stable in the presence of both charge and Kiselev parameter otherwise, it shows an unstable behavior.

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.

Mechanical stability of a class of regular thin-shell wormholes

2020 ◽  
Vol 35 (37) ◽  
pp. 2050309
Author(s):  
Faisal Javed ◽  
M. Sharif
Keyword(s):  
Thin Shell ◽  
Mechanical Stability ◽  
Static Solution ◽  
Stable Region ◽  
Stable Configuration ◽  
Energy Tensor ◽  
Radial Perturbation ◽  
Stress Energy ◽  
Thin Shell Wormholes ◽  
The Stability

This paper explores the stable configuration of thin-shell wormholes constructed from two regular black holes (modified Hayward and four parametric) by using Visser cut and paste approach. The components of stress-energy tensor are evaluated through the Lanczos equations. We analyze the stability of thin-shell by using radial perturbation preserving its symmetries about equilibrium static solution. It is found that modified Hayward wormholes are more stable than the Hayward wormholes. Further, the stable regions of four parametric regular wormholes are larger than the Schwarzschild, Reissner–Nordström and Ayón–Beato–García wormholes. We conclude that stable region decreases for highly charged thin-shell wormholes.

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