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 $$(2+1)$$-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.

Charged thin-shell wormholes in f(R) gravity

2021 ◽  
Author(s):  
Nisha Godani
Keyword(s):  
Stability Analysis ◽  
Equation Of State ◽  
Linear Equation ◽  
Thin Shell ◽  
Throat Radius ◽  
Thin Shell Wormholes ◽  
Theory Of Gravity ◽  
The Stability

In this paper, the charged thin-shell wormholes have been constructed by using cut-and-paste approach in the framework of [Formula: see text] theory of gravity. The stability analysis is performed in [Formula: see text] gravity formalism, where [Formula: see text] and [Formula: see text] are nonzero constants, with a linear equation of state. The stable and unstable regions have been examined for different values of the parameters involved in the model. The effect of charge and mass on the throat radius is analyzed and stability of thin shell is obtained.

scholarly journals ON THIN-SHELL WORMHOLES EVOLVING IN FLAT FRW SPACETIMES

2011 ◽  
Vol 26 (12) ◽  
pp. 857-863 ◽  
Author(s):  
M. LA CAMERA
Keyword(s):  
Stability Analysis ◽  
Equation Of State ◽  
Perfect Fluid ◽  
Dynamic Systems ◽  
Spherical Symmetry ◽  
Thin Shell ◽  
Time Dependent ◽  
State Formula ◽  
Thin Shell Wormholes ◽  
The Stability

We analyze the stability of a class of thin-shell wormholes with spherical symmetry evolving in flat FRW spacetimes. The wormholes considered here are supported at the throat by a perfect fluid with equation of state [Formula: see text] and have a physical radius equal to aR, where a is a time-dependent function describing the dynamics of the throat and R is the background scale factor. The study of wormhole stability is done by means of the stability analysis of dynamic systems.

Construction of thin shell wormholes from metric f(R) gravity

2017 ◽  
Vol 32 (20) ◽  
pp. 1750111 ◽  
Author(s):  
M. Zaeem-ul-Haq Bhatti ◽  
A. Anwar ◽  
S. Ashraf
Keyword(s):  
Black Hole ◽  
Equation Of State ◽  
Thin Shell ◽  
Chaplygin Gas ◽  
Spherically Symmetric ◽  
Modified Chaplygin Gas ◽  
Potential Approach ◽  
Curvature Invariants ◽  
Radial Perturbation ◽  
Thin Shell Wormholes

In this paper, we have constructed spherically symmetric thin-shell wormholes (WHs) by surgically grafting two geometries of charged black hole in the framework of f(R) higher curvature invariants (threaded by exotic matter). We have investigated the stable/unstable regimes for couple of f(R) models using the potential approach formulated by Eiroa with radial perturbation. We have categorized our analysis for different values of charge as well as the parameters involved in the particular mode of f(R) gravity. We have found both stable and unstable regions using modified Chaplygin gas in this scenario and the results are shown through plots. We found that there exists a parametric space for equation of state and quadratic as well as cubic gravities in which one can accommodate more stable thin-shell WHs.

Stability of asymmetric thin shell wormhole with a variable equation of state

2020 ◽  
Vol 35 (26) ◽  
pp. 2050215 ◽  
Author(s):  
A. Eid
Keyword(s):  
Equation Of State ◽  
Linear Stability ◽  
Thin Shell ◽  
Chaplygin Gas ◽  
De Sitter ◽  
Dynamical Equations ◽  
Generalized Chaplygin Gas ◽  
Variable Equation ◽  
Thin Shell Wormholes

Dynamical equations of asymmetric thin shell wormholes connecting two different spacetimes by applying the cut and paste technique are constructed. The linear stability with variable modified generalized Chaplygin gas (VMGCG) equation of state, where the pressure will be a function of both radius and density, is investigated. This formalism is applied to two specific cases of asymmetric wormhole of a Schwarzschild connected to Reissner–Nordström spacetime and Reissner–Nordström connected to Schwarzschild–De Sitter (SDS) spacetime.

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 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.

Dynamics of thin-shell wormholes with different cosmological models

2017 ◽  
Vol 26 (05) ◽  
pp. 1741007 ◽  
Author(s):  
Muhammad Sharif ◽  
Saadia Mumtaz
Keyword(s):  
Equation Of State ◽  
Electric Charge ◽  
General Equation ◽  
Thin Shell ◽  
Cosmological Models ◽  
Exotic Matter ◽  
Linear Perturbation ◽  
Stability Regions ◽  
Thin Shell Wormholes ◽  
The Stability

This work is devoted to investigate the stability of thin-shell wormholes in Einstein–Hoffmann–Born–Infeld electrodynamics. We also study the attractive and repulsive characteristics of these configurations. A general equation-of-state is considered in the form of linear perturbation which explores the stability of the respective wormhole solutions. We assume Chaplygin, linear and logarithmic gas models to study exotic matter at thin-shell and evaluate stability regions for different values of the involved parameters. It is concluded that the Hoffmann–Born–Infeld parameter and electric charge enhance the stability regions.

Charged thin-shell wormholes with quintessence effects

2021 ◽  
Vol 36 (26) ◽  
Author(s):  
Saadia Mumtaz
Keyword(s):  
Thin Shell ◽  
Chaplygin Gas ◽  
Exotic Matter ◽  
Stability Regions ◽  
Thin Shell Wormholes ◽  
Theoretical Construction ◽  
The Stability ◽  
Effective Component

This work studies the theoretical construction of charged quintessence thin-shell wormholes using Israel thin-shell approach. The stability of these wormhole solutions is investigated by taking linear, logarithmic and Chaplygin gas models as a constituent of exotic matter at thin-shell. The presence of wormhole stability regions particularly relies on the physically justifiable values of charge and quintessence parameter. It is noted that the increasing value of charge seems as an effective component for stable regions while the rise in negativity of the quintessence parameter gives more stable wormhole configurations.

scholarly journals Spherical "Top-Hat" collapse in a modified Chaplygin gas dominated universe

2015 ◽  
Vol 24 (07) ◽  
pp. 1550050 ◽  
Author(s):  
S. Karbasi ◽  
H. Razmi
Keyword(s):  
Equation Of State ◽  
Structure Formation ◽  
Observational Data ◽  
Chaplygin Gas ◽  
Modified Chaplygin Gas ◽  
Time Rate ◽  
Generalized Chaplygin Gas ◽  
The Stability ◽  
Perturbation Growth ◽  
Good Agreement

Considering perturbation growth in spherical Top-Hat (STH) model of structure formation in a generalized Chaplygin gas (GCG) dominated universe, we want to study this scenario with modified Chaplygin gas (MCG) obeying an equation of state p = A - B/ρα model. Different parameters of this scenario for positive and negative values of A are computed. The evolution of background and collapsed region parameters are found for different cases. The stability of the model and the collapse time rate are considered in different cases. The turn-around redshifts for different values of α are computed; the results are in relatively good agreement with current observational data.

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