Quasi-cosmological traversable wormholes in f(R) gravity

Golchin, Hanif; Mehdizadeh, Mohammad

doi:10.1140/epjc/s10052-019-7292-4

Cited by 44 publications

(30 citation statements)

References 81 publications

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“…In the following, we study some examples by taking into account the metric function (34). We construct static thinshell wormholes with radius a 0 by applying the junction formalism, and we analyze their stability under radial perturbations which preserve the symmetry.…”

Section: Anti-de Sitter Thin-shell Wormholes With Chargementioning

confidence: 99%

“…From the very beginning, F(R) gravity has generated a broad interest; hence, there are many publications in this gravitational framework. Here, we just mention some papers related to the study of black holes by considering constant [22][23][24][25] and non-constant [26][27][28] scalar curvature, branes [29,30], and traversable wormholes [31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

2021

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We construct a broad family of thin-shell wormholes with circular symmetry in $$(2+1)$$ ( 2 + 1 ) -dimensional F(R) theories of gravity, with constant scalar curvature R. We study the stability of the static configurations under perturbations preserving the symmetry. We present examples of charged thin-shell wormholes which are asymptotically anti-de Sitter at both sides of the throat. We show that stable solutions are possible when suitable values of the parameters are taken.

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Section: Anti-de Sitter Thin-shell Wormholes With Chargementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

2021

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“…Samanta et al [32] defined (r ) = r e (r −r 0 ) , known exponential WSF. Some authors [33][34][35] used (r ) = (r 0 ) n+1 r −n , for different values of n. Recently, Golchin and Mehdizadeh [36] have considered a special class in f (R) theory of gravity (F(R 0 ) = 0 and…”

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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“…The new center of attraction in this era seems to direct toward wormholes. Many solutions of traversable wormholes are investigated in f (R) and f (R, T ) gravity by considering different forms of energy density [18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Studying wormhole solutions in various modified theories is a noteworthy and important point in theoretical physics.…”

Section: Introductionmentioning

confidence: 99%

Wormhole in f(R) gravity revisited

Parsaei,

Rastgoo

2021

Preprint

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In this paper, exact wormhole solutions in the context of f (R) theory of gravity are investigated. Since the Einstein field equations are modified in 3+1 dimensions in the f (R) theory of gravity, we have studied some possible solutions with different forms of shape function and f (R) function. We show that choosing f (R) or metric functions arbitrarily may lead to a conflict for wormhole solutions. Some previous solutions are discussed which verify the contradiction throughout the equations. We conclude that wormhole solutions in the context of f (R) gravity should be revisited.

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Quasi-cosmological traversable wormholes in f(R) gravity

Cited by 44 publications

References 81 publications

Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

Thin-shell wormholes in $$(2+1)$$-dimensional F(R) theories

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

Wormhole in f(R) gravity revisited

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