Influence of nonlinear electrodynamics on stability of thin-shell wormholes

Sharif, M.; Mumtaz, Saadia

doi:10.1007/s10509-016-2817-x

Cited by 20 publications

(7 citation statements)

References 21 publications

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“…For the model #1 described by the form function (35), the Eq. (87) can be evaluated without specifying the numerical values for any parameter, yielding to…”

Section: Volume Integral Quantifiermentioning

confidence: 99%

“…In a broader context, the thin-shell procedure has been used to build wormholes with cylindrical symmetry [31,32], spherically symmetric wormholes in the light 0123456789(). : V,-vol of linear [33] as well as non-linear electrodynamics [34][35][36]. Moreover, wormhole solutions with other type of symmetries have been investigated in [37][38][39] and also the possibility to obtain a traversable Schwarzschild-like wormhole has been considered [40].…”

Section: Introductionmentioning

confidence: 99%

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Minimally deformed wormholes

2021

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This work is devoted to the study of wormhole solutions in the framework of gravitational decoupling by means of the minimal geometric deformation scheme. As an example, to analyze how this methodology works in this scenario, we have minimally deformed the well-known Morris–Thorne model. The decoupler function f(r) and the $$\theta $$ θ -sector are determined considering the following approaches: (i) the most general linear equation of state relating the $$\theta _{\mu \nu }$$ θ μ ν components is imposed and (ii) the generalized pseudo-isothermal dark matter density profile is mimicked by the temporal component of the $$\theta $$ θ -sector. It is found that the first approach leads to a non-asymptotically flat space-time with an unbounded mass function. To address this issue we have matched both the wormhole and the Schwarzschild vacuum solutions, via a thin-shell at the junction surface. Using the second approach, it can be seen that, on one hand, the solution for $$\gamma =1$$ γ = 1 does not give place to a bounded mass and it presents a topological defect at large distances; on the other hand, the wormhole manifold is asymptotically flat in the $$\gamma =2$$ γ = 2 case. In order to satisfy the flare-out condition, we have found restrictions on the value of the $$\alpha $$ α parameter, which is related with the amount of exotic matter distribution. Finally, the averaged weak energy condition has been analyzed by using the volume integral quantifier.

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“…For the model #1 described by the form function (35), the Eq. (87) can be evaluated without specifying the numerical values for any parameter, yielding to…”

Section: Volume Integral Quantifiermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Minimally deformed wormholes

2021

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“…The choice of model has remarkable significance in the dynamical investigation of thin-shell wormholes. Recently, the dynamics of regular wormhole solutions has been examined by taking linear, logarithmic and Chaplygin gas models [10,33] . In this paper, we consider these fluids to study stability of regular ABG wormholes.…”

Section: Models For Exotic Mattermentioning

confidence: 99%

Stability of thin-shell wormholes from a regular ABG black hole

Sharif

Mumtaz

2017

Eur. Phys. J. Plus

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In this paper, we construct thin-shell wormholes from regular Ayon-Beato and Garcia black hole by employing cut and paste formalism and examine their stability. We analyze attractive and repulsive characteristics of the respective thin-shell wormholes. A general equation of state is assumed as a linear perturbation to explore stability of these constructed wormholes with and without cosmological constant. We consider linear, logarithmic and Chaplygin gas models for exotic matter and evaluate stability regions for different values of charge. It is found that generalized Chaplygin gas model provides maximum stable regions in de Sitter background while modified generalized Chaplygin gas and logarithmic gas yield maximum stable regions in anti-de Sitter spacetime.

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“…the thin-shell is surrounding the wormhole [22]. Cylindrically symmetric thin-shell wormholes have also been explored [23,24], as well as spherically symmetric thin-shell wormholes within the context of linear [25] and non-linear electrodynamics [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Traversable Schwarzschild-like wormholes

2017

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In this paper we study relativistic static traversable wormhole solutions which are a slight generalization of Schwarzschild wormholes. In order to do this we assume a shape function with a linear dependence on the radial coordinate r . This linear shape function generates wormholes whose asymptotic spacetime is not flat: they are asymptotically locally flat, since in the asymptotic limit r → ∞ spacetimes exhibiting a solid angle deficit (or excess) are obtained. In particular, there exist wormholes which connect two asymptotically non-flat regions with a solid angle deficit. For these wormholes the size of their embeddings in a three-dimensional Euclidean space extends from the throat to infinity. A new phantom zero-tidal-force wormhole exhibiting such asymptotic is obtained. On the other hand, if a solid angle excess is present, the size of the wormhole embeddings depends on the amount of this angle excess, and the energy density is negative everywhere. We discuss the traversability conditions and study the impact of the β-parameter on the motion of a traveler when the wormhole throat is crossed. A description of the geodesic behavior for the wormholes obtained is also presented.

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Influence of nonlinear electrodynamics on stability of thin-shell wormholes

Cited by 20 publications

References 21 publications

Minimally deformed wormholes

Minimally deformed wormholes

Stability of thin-shell wormholes from a regular ABG black hole

Traversable Schwarzschild-like wormholes

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