Non-commutative wormholes exhibiting conformal motion in Rastall gravity

Mustafa, Ghulam; Waheed, Saira; Zubair, M.; Xia, Tiecheng

doi:10.1016/j.cjph.2020.02.008

Cited by 50 publications

(32 citation statements)

References 52 publications

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“…The violation of NEC for the first two values of parameter α is evidence for the presence of the exotic matter, which may be required for the wormhole geometry. Our obtained results are similar to those wormhole solutions that are provided in [25][26][27].…”

Section: Wormhole Solutionssupporting

confidence: 89%

“…All of our calculated results can be seen from the summery which is presented in Tables 1 and 2. We comment here that our calculated results for f (R) theory under exponential gravity model with anisotropic fluid source are in agreement with the already explored results in the modified f (R) theory of gravity in different scenarios [15][16][17][18][19][20][21][22][25][26][27].…”

supporting

confidence: 91%

“…Recently, Mustafa et al [25] presented wormholes solutions in the f (T, T G ) theory of gravity by adopting non-commutative geometry. Wormhole solutions in the background of f (T) theory [26] and Rastall theory have also been explored in the literature [27]. In this study, we discuss the wormhole solutions for an anisotropic source of fluid, in the background of an exponential f (R) gravity model, which was first obtained by Samanta et al [28], and was discussed in the context of inflation and the late-time accelerated expansion of the Universe (given in Section 2).…”

Section: Introductionmentioning

confidence: 91%

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Stable Wormholes in the Background of an Exponential f(R) Gravity

2020

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The current paper is devoted to investigating wormhole solutions with an exponential gravity model in the background of f ( R ) theory. Spherically symmetric static spacetime geometry is chosen to explore wormhole solutions with anisotropic fluid source. The behavior of the traceless matter is studied by employing a particular equation of state to describe the important properties of the shape-function of the wormhole geometry. Furthermore, the energy conditions and stability analysis are done for two specific shape-functions. It is seen that the energy condition are to be violated for both of the shape-functions chosen here. It is concluded that our results are stable and realistic.

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Section: Wormhole Solutionssupporting

confidence: 89%

supporting

confidence: 91%

Section: Introductionmentioning

confidence: 91%

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Stable Wormholes in the Background of an Exponential f(R) Gravity

2020

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“…From Equation 40, the range of a which satisfies V(a) ≤ 0 is the movable range for the shell. Since we obtained Equation (40) by twice squaring Equation 35, there is the possibility that we take wrong solutions which satisfy Equation (40) but do not satisfy Equation (35). However, we can show that this is not the case (see [4] for the proof).…”

Section: Equation Of Motion For the Shellmentioning

confidence: 94%

“…Dias and Lemos studied stability in higher dimensional Einstein gravity [32]. Thin-shell wormholes can also be constructed in extended gravity models [33][34][35] (see [36][37][38][39][40][41][42][43][44][45][46] for recent progress on thin-shell wormhole and its applications).…”

Section: Thin-shell Wormholesmentioning

confidence: 99%

Thin-Shell Wormholes in Einstein and Einstein–Gauss–Bonnet Theories of Gravity

Kokubu

Harada

2020

Universe

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We review recent works on the possibility for eternal existence of thin-shell wormholes on Einstein and Einstein–Gauss–Bonnet gravity. We introduce thin-shell wormholes that are categorized into a class of traversable wormhole solutions. After that, we discuss stable thin-shell wormholes with negative-tension branes in Reissner–Nordström–(anti) de Sitter spacetimes in d-dimensional Einstein gravity. Imposing Z2 symmetry, we construct and classify traversable static thin-shell wormholes in spherical, planar and hyperbolic symmetries. It is found that the spherical wormholes are stable against spherically symmetric perturbations. It is also found that some classes of wormholes in planar and hyperbolic symmetries with a negative cosmological constant are stable against perturbations preserving symmetries. In most cases, stable wormholes are found with the appropriate combination of an electric charge and a negative cosmological constant. However, as special cases, there are stable wormholes even with a vanishing cosmological constant in spherical symmetry and with a vanishing electric charge in hyperbolic symmetry. Subsequently, the existence and dynamical stability of traversable thin-shell wormholes with electrically neutral negative-tension branes is discussed in Einstein–Gauss–Bonnet theory of gravitation. We consider radial perturbations against the shell for the solutions, which have the Z2 symmetry. The effect of the Gauss–Bonnet term on the stability depends on the spacetime symmetry.

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Traversable Wormholes in the Extended Teleparallel Theory of Gravity with Matter Coupling

Mustafa

Ahmad

Овгун

et al. 2021

Fortschritte der Physik

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This study explores the Gaussian and the Lorentzian distributed spherically symmetric wormhole solutions in the f(τ,T) gravity. The basic idea of the Gaussian and Lorentzian noncommutative geometries emerges as the physically acceptable and substantial notion in quantum physics. This idea of the noncommutative geometries with both the Gaussian and Lorentzian distributions becomes more striking when wormhole geometries in the modified theories of gravity are discussed. Here we consider a linear model within f(τ,T) gravity to investigate traversable wormholes. In particular, we discuss the possible cases for the wormhole geometries using the Gaussian and the Lorentzian noncommutative distributions to obtain the exact shape function for them. By incorporating the particular values of the unknown parameters involved, we discuss different properties of the new wormhole geometries explored here. It is noted that the involved matter violates the weak energy condition for both the cases of the noncommutative geometries, whereas there is a possibility for a physically viable wormhole solution. By analyzing the equilibrium condition, it is found that the acquired solutions are stable. Furthermore, we provide the embedded diagrams for wormhole structures under Gaussian and Lorentzian noncommutative frameworks. Moreover, we present the critical analysis on an anisotropic pressure under the Gaussian and the Lorentzian distributions.

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Non-commutative wormholes exhibiting conformal motion in Rastall gravity

Cited by 50 publications

References 52 publications

Stable Wormholes in the Background of an Exponential f(R) Gravity

Stable Wormholes in the Background of an Exponential f(R) Gravity

Thin-Shell Wormholes in Einstein and Einstein–Gauss–Bonnet Theories of Gravity

Traversable Wormholes in the Extended Teleparallel Theory of Gravity with Matter Coupling

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