Morris–Thorne wormhole with Karmarkar condition

Fayyaz, I.; Shamir, M. Farasat

doi:10.1016/j.cjph.2020.05.018

Cited by 25 publications

(8 citation statements)

References 26 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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“…Thus, in comparison with Fayyaz and Shamir [44], discussed the WSF Eq. (7) in the context of GR and investigated the presence of exotic matter in the formulation of wormhole.…”

Section: Discussionmentioning

confidence: 94%

“…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. To the best of our knowledge, we first time apply this shape function in modified f (R) theory of gravity.…”

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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“…In the framework of GR, Fayyaz and Shamir [63] studied physically realistic and stable WH solutions in the presence of exotic matter. The same authors [64] found that the considered WSF satisfies the null energy condition and hence shows the absence of exotic matter which yields non-traversable WH geometry in f (R) theory.…”

Section: Appendix Amentioning

confidence: 99%

Traversable Wormhole Solutions Admitting Noether Symmetry in f(R,T2) Theory

Gul

Sharif

2023

Symmetry

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This paper uses the Noether symmetry approach to examine the viable and stable traversable wormhole solutions in the framework of the f(R,T2) theory, where R is the Ricci scalar and T2=TμνTμν is the self-contraction of the stress–energy tensor. For this purpose, we consider a specific model of this modified theory to obtain the exact solutions of the Noether equations. Further, we formulate the generators of the Noether symmetry and first integrals of motion. We analyze the presence of viable and stable traversable wormhole solutions corresponding to different redshift functions. In order to determine whether this theory provides physically viable and stable wormhole geometry or not, we check the graphical behavior of the null energy constraint, causality condition and adiabatic index for an effective stress–energy tensor. It is found that viable and stable traversable wormhole solutions exist in this modified theory.

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Morris–Thorne wormhole with Karmarkar condition

Cited by 25 publications

References 26 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

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

Traversable Wormhole Solutions Admitting Noether Symmetry in f(R,T2) Theory

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