Linear stability of spherically symmetric and wormhole solutions supported by the sine-Gordon ghost scalar field

Dzhunushaliev, Vladimir; Folomeev, Vladimir; Singleton, Douglas; Myrzakulov, Ratbay

doi:10.1103/physrevd.82.045032

Cited by 16 publications

(6 citation statements)

References 47 publications

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“…In regards to observational constraints, regular domain walls are more problematic. However, one would still need to confirm that these domain walls are unstable by performing some stability analysis as in [29], and one would need to determine if they would leave some imprint on observables from the early Universe.…”

Section: Discussionmentioning

confidence: 99%

Compact and extended objects from self-interacting phantom fields

et al. 2016

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In this work, we investigate localized and extended objects for gravitating, self-interacting phantom fields. The phantom fields come from two scalar fields with a "wrong-sign" (negative) kinetic energy term in the Lagrangian. This study covers several solutions supported by these phantom fields: phantom balls, traversable wormholes, phantom cosmic strings, and "phantom" domain walls. These four systems are solved numerically, and we try to draw out general, interesting features in each case.

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Section: Discussionmentioning

confidence: 99%

Compact and extended objects from self-interacting phantom fields

et al. 2016

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“…The locally anisotropic wormhole and flux tube like solutions have been studied using the technique of anholonomic frames [7]. Dzhunushaliev et al [8] have investigated the linear stability analysis for wormhole configurations with and without electric and/or magnetic fields. Visser et al [9] have shown that the violation of null energy condition (NEC) can be restricted to an arbitrarily small region by an appropriate choice of the wormhole geometry.…”

Section: Literature Surveymentioning

confidence: 99%

Traversable wormhole solutions in f(R) gravity via Karmarkar condition

Shamir

Fayyaz

2020

Eur. Phys. J. C

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Motivated by recent proposals of possible wormhole shape functions, we construct a wormhole shape function by employing the Karmarkar condition for static traversable wormhole geometry. The proposed shape function generates wormhole geometry that connects two asymptotically flat regions of spacetime and satisfies the required conditions. Further, we discuss the embedding diagram in three-dimensional Euclidean space to present the wormhole configurations. The main feature of current study is to consider three well-known f(R) gravity models, namely exponential gravity model, Starobinsky gravity Model and Tsujikawa f(R) gravity model. Moreover, we investigate that our proposed shape function provides the wormhole solutions with less (or may be negligible) amount of exotic matter corresponding to the appropriate choice of f(R) gravity models and suitable values of free parameters. Interestingly, the solutions obtained for this shape function generate stable static spherically symmetric wormhole structure in the context of non-existence theorem in f(R) gravity. This may lead to a better analytical representation of wormhole solutions in other modified gravities for the suggested shape function.

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“…where N (t) is again the solution of the P II -equation (4.9), then the function v satisfies the Kortewegde Vries (KdV) equation [26] v Λ + 6vv y + v yyy = 0, (8.5) which is also integrable. For the F II -model (5.7), v is given by satisfies the sine-Gordon equation [26] (see also [35])…”

Section: Scalar Field Descriptionmentioning

confidence: 99%

Dark Energy in Some Integrable and Nonintegrable FRW Cosmological Models

Esmakhanova

Myrzakulov

Nugmanova

et al. 2011

Int. J. Mod. Phys. D

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One of the greatest challenges in cosmology today is to determine the nature of dark energy, the sourse of the observed present acceleration of the Universe. Besides the vacuum energy, various dark energy models have been suggested. The Friedmann -Robertson -Walker (FRW) spacetime plays an important role in modern cosmology. In particular, the most popular models of dark energy work in the FRW spacetime. In this work, a new class of integrable FRW cosmological models is presented. These models induced by the well-known Painlevé equations. Some nonintegrable FRW models are also considered. These last models are constructed with the help of Pinney, Schrödinger and hypergeometric equations. Scalar field description and two-dimensional generalizations of some cosmological models are presented. Finally some integrable and nonintegrable F (R) and F (G) gravity models are constructed.

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Linear stability of spherically symmetric and wormhole solutions supported by the sine-Gordon ghost scalar field

Cited by 16 publications

References 47 publications

Compact and extended objects from self-interacting phantom fields

Compact and extended objects from self-interacting phantom fields

Traversable wormhole solutions in f(R) gravity via Karmarkar condition

Dark Energy in Some Integrable and Nonintegrable FRW Cosmological Models

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