Effect of the Gauss-Bonnet parameter in the stability of thin-shell wormholes

Amirabi, Zahra; Halilsoy, Mustafa; Mazharimousavi, S. Habib

doi:10.1103/physrevd.88.124023

Cited by 41 publications

(24 citation statements)

References 52 publications

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“…Plane and cylindrical thin-shell wormholes were also analyzed [16][17][18][19][20][21][22][23][24]. The Chaplygin gas and its generalizations a e-mail: eiroa@iafe.uba.ar b e-mail: gfigueroa@iafe.uba.ar were used to model the exotic matter supporting wormholes [25][26][27][28][29][30]. The linearized stability of Schwarzschild thin-shell wormholes with variable equations of state has been recently considered [31].…”

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes with charge in F(R) gravity

Eiroa

Figueroa-Aguirre

2016

Eur. Phys. J. C

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In this article, we construct a class of constant curvature and spherically symmetric thin-shell Lorentzian wormholes in F(R) theories of gravity and we analyze their stability under perturbations preserving the symmetry. We find that the junction conditions determine the equation of state of the matter at the throat. As a particular case, we consider configurations with mass and charge. We obtain that stable static solutions are possible for suitable values of the parameters of the model.

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Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes with charge in F(R) gravity

Eiroa

Figueroa-Aguirre

2016

Eur. Phys. J. C

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“…Recently two of us analyzed the effect of the Gauss-Bonnet parameter on the stability of TSW in higher-dimensional EGB gravity [46]. In that paper some specific models of matter have been considered such as LG, CG, GCG, MGCG, and LogG.…”

Section: Some Models Of Exotic Matter Supporting the Tswmentioning

confidence: 99%

Thin-shell wormholes from the regular Hayward black hole

2014

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We revisit the regular black hole found by Hayward in 4-dimensional static, spherically symmetric spacetime. To find a possible source for such a spacetime we resort to the nonlinear electrodynamics in general relativity. It is found that a magnetic field within this context gives rise to the regular Hayward black hole. By employing such a regular black hole we construct a thin-shell wormhole for the case of various equations of state on the shell. We abbreviate a general equation of state by p = ψ(σ ) where p is the surface pressure which is a function of the mass density (σ ). In particular, linear, logarithmic, Chaplygin, etc. forms of equations of state are considered. In each case we study the stability of the thin shell against linear perturbations. We plot the stability regions by tuning the parameters of the theory. It is observed that the role of the Hayward parameter is to make the TSW more stable. Perturbations of the throat with small velocity condition are also studied. The matter of our TSWs, however, remains exotic.

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“…We first consider the non-diagonal modified Einstein's equation (13), which is a partial differential equation with respect to Φ(r, t) (note that Ricci curvature is itself dependent on Φ(r, t), so this equation contains derivatives with respect to both the radial and time coordinate, as well as the mixed terms). In order to solve this equation we will solve it at the throat, r = r 0 , and assume that the same time dependence will remain valid for all other positions.…”

Section: Numerical Solutions a Radiation Dominated Eramentioning

confidence: 99%

“…Besides, the static wormhole geometries have also been theorized within curvature-matter coupling theories such as f (R, T ), where T is the trace of stress-energy-momentum tensor [11]. Additionally, wormhole geometries have also been explored in generalized teleparallel gravity [12], Gauss-Bonnet gravity [13] and Lovelock-Brans-Dicke gravity [14]. In addition, wormholes minimally coupled to pions supported by a negative cosmological constant were obtained in Ref.…”

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confidence: 99%

Cosmological wormholes inf(R)theories of gravity

et al. 2016

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Motivated by recent proposals of possible wormhole existence in galactic halos, we analyse the cosmological evolution of wormhole solutions in modified f (R) gravity. We construct a dynamical wormhole that asymptotically approaches FLRW universe, with supporting material going to the perfect isotropic fluid described by the equation of state for radiation and matter dominated universe respectively. Our analysis is based on an approximation of a small wormhole -a wormhole that can be treated as matched with the FLRW metric at some radial coordinate much smaller than the Hubble radius, so that cosmological boundary conditions are satisfied. With a special interest in viable wormhole solutions, we refer to the results of reconstruction procedure and use f (R) functions which lead to the experimentally confirmed ΛCDM expansion history of the universe. Solutions we find imply no need for exotic matter near the throat of considered wormholes, while in the limit of f (R) = R this need is always present during radiation and matter dominated epoch.

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Effect of the Gauss-Bonnet parameter in the stability of thin-shell wormholes

Cited by 41 publications

References 52 publications

Thin-shell wormholes with charge in F(R) gravity

Thin-shell wormholes with charge in F(R) gravity

Thin-shell wormholes from the regular Hayward black hole

Cosmological wormholes inf(R)theories of gravity

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