Stability of a charged rotating BTZ thin shell with a different variable equation of state

2021 ◽  
pp. 2150086
Author(s):  
A. Eid
Keyword(s):  
Black Holes ◽  
Equation Of State ◽  
Thin Shell ◽  
Mechanical Stability ◽  
Chaplygin Gas ◽  
Throat Radius ◽  
Generalized Chaplygin Gas ◽  
Radial Perturbation ◽  
Btz Black Holes ◽  
Variable Equation

Dynamics of charged rotating BTZ black holes in 2 + 1 dimensions by using the cut and paste approach is discussed. Due to the mechanical stability of rotating charged BTZ thin shell, the radial perturbation about the equilibrium throat radius and three variable equation of state (EoS) is analyzed. Several examples are displayed satisfying it, such as variable Phantom-like, variable Chaplygin gas and variable modified generalized Chaplygin gas.

scholarly journals Stability of charged thin-shell gravastars with quintessence

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
M. Sharif ◽  
Faisal Javed
Keyword(s):  
Equation Of State ◽  
Thin Shell ◽  
Chaplygin Gas ◽  
Stable Configuration ◽  
Matter Distribution ◽  
Generalized Chaplygin Gas ◽  
Radial Perturbation ◽  
Gravitational Vacuum ◽  
Variable Equation ◽  
Physical Features

AbstractThis paper develops a new solution of gravitational vacuum star in the background of charged Kiselev black holes as an exterior manifold. We explore physical features and stability of thin-shell gravastars with radial perturbation. The matter thin layer located at thin-shell greatly affects stable configuration of the developed structure. We assume three different choices of matter distribution such as barotropic, generalized Chaplygin gas and generalized phantomlike equation of state. The last two models depend on the shell radius, also known as variable equation of state. For barotropic model, the structure of thin-shell gravastar is mostly unstable while it shows stable configuration for such type of matter distribution with extraordinary quintessence parameter. The resulting gravastar structure indicates stable behavior for generalized Chaplygin gas but unstable for generalized phantomlike model. It is also found that proper length, entropy and energy within the shell show linear relation with thickness of the shell.

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.

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 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.

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.

VISCOUS GENERALIZED CHAPLYGIN GAS

2006 ◽  
Vol 15 (08) ◽  
pp. 1151-1161 ◽  
Author(s):  
XIANG-HUA ZHAI ◽  
YOU-DONG XU ◽  
XIN-ZHOU LI
Keyword(s):  
Equation Of State ◽  
Bulk Viscosity ◽  
Critical Energy ◽  
State Equation ◽  
Chaplygin Gas ◽  
Point Of View ◽  
Dynamical Analysis ◽  
Density Parameter ◽  
Generalized Chaplygin Gas ◽  
Barotropic Fluid

Viscous generalized Chaplygin gas (GCG) cosmology is discussed, assuming that there is bulk viscosity in the linear barotropic fluid and GCG. wγ = γ - 1 and wg represent the state equation parameters for barotropic fluid and GCG, respectively, in which γ = 1 or [Formula: see text] corresponds to ordinary matter or radiation. The dynamical analysis indicates that the phase [Formula: see text] is a dynamical attractor and the equation of state of GCG approaches it from either wg > -1 or wg < -1 depending on the choice of its initial cosmic density parameter and the ratio of pressure to critical energy density, where τg and τγ are viscosity parameters. Therefore, the equation of state wg will cross the boundary wg = -1 if we choose initial value wg < -1. Furthermore, we show that bulk viscosity coefficients should satisfy inequalities from the point of view of dynamics.

scholarly journals GEOMETRICAL DIAGNOSTIC FOR THE GENERALIZED CHAPLYGIN GAS MODEL

2009 ◽  
Vol 18 (11) ◽  
pp. 1741-1748 ◽  
Author(s):  
JIANBO LU ◽  
LIXIN XU
Keyword(s):  
Dark Matter ◽  
Dark Energy ◽  
Equation Of State ◽  
Diagnostic Method ◽  
Chaplygin Gas ◽  
Shift Parameter ◽  
Generalized Chaplygin Gas ◽  
Λcdm Model ◽  
Current Equation

A new diagnostic method, Om, is applied to the generalized Chaplygin gas (GCG) model as the unification of dark matter and dark energy. On the basis of the recently observed data — the Union supernovae, the observational Hubble data, the SDSS baryon acoustic peak and the five-year WMAP shift parameter — we show the discriminations between the GCG model and the ΛCDM model. Furthermore, it is calculated that the current equation of state of dark energy w 0de = -0.964, according to the GCG model.

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.

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