Spherically symmetric wormholes of embedding class one

Kuhfittig, Peter K. F.

doi:10.1007/s12043-019-1742-2

Cited by 22 publications

(21 citation statements)

References 13 publications

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“…In this study, we apply the principle of f (T, τ ) gravity to calculate the WH solutions. For this purpose, we apply the renowned Karmarkar condition (KC) under embedded spacetime by following the work presented in the literature [57,59]. Karmarkar [60], developed a condition of embedding class-1 spacetime for a static and spherically symmetric line element.…”

Section: Introductionmentioning

confidence: 99%

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

et al. 2021

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This study is devoted to explore the physical aspects of wormhole geometry under embedded class-1 spacetime in $$f(T,\tau )$$ f ( T , τ ) gravity, where $$\tau $$ τ denotes the trace of the energy-momentum tensor and T is the torsion. We derive the embedded class-1 solutions by considering spherically symmetric static spacetime. The shape function is calculated in the framework of embedded class-1 spacetime. It is necessary to mention here that the calculated shape function can be used in other modified theories of gravity. To complete this study, we take diagonal and off-diagonal tetrad, and try to build a comparison by considering the validity region of energy conditions in embedded class-1 spacetime. The embedded surface diagram is given to understand the connection between the two different regions of spacetime. The validity regions of all the energy conditions are calculated. A detailed graphical analysis is provided for validity regions of all the energy conditions. The presence of exotic matter is confirmed in both the cases as the null energy condition is violated.

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Section: Introductionmentioning

confidence: 99%

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

et al. 2021

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“…The study of wormholes not only is carried out within the framework of GR. Recently there has been a growing interest in studying such solutions in the arena of Brans-Dicke theory [44,45], f (R)-gravity [46][47][48][49][50][51][52][53], f (R, T )-gravity [54][55][56][57][58], Einstein-Cartan theory [59] and extra dimensions [60,61]. The advantage of these modified or extended gravity theories is that the energy conditions can be satisfied for the usual matter sector due to the corrections introduced by the additional fields into the theory.…”

Section: Introductionmentioning

confidence: 99%

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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“…In recent years, different researchers have considered the KMc to discussed the configurations of spherically symmetric compact objects [38][39][40][41][42]. Kuhfittig [43] developed wormhole geometry using KMc and shown that the embedding theory may provide the basis for a complete wormhole solution. Recently, Fayyaz and Shamir [44] constructed a WSF by applying KMc and analysed that it obeys all the required conditions and exhibit the presence of exotic matter in the context of GR.…”

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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Spherically symmetric wormholes of embedding class one

Cited by 22 publications

References 13 publications

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

Minimally deformed wormholes

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

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