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

Mustafa, Ghulam; Hussain, Ibrar; Shamir, M. Farasat

doi:10.3390/universe6040048

Cited by 24 publications

(11 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 2 provides the graphical analysis of (b s (r)/r) ⟶ 0 as r ⟶ ∞, which is not observed clearly. It shows that the wormhole geometry is not asymptotically flat, and this conduct agrees with the already prevailing cases described in the literature (see, for example, [43][44][45][46]). In the reference of energy conditions, it is verified from Figure 3 that the condition (ρ + P r ) is seen negative, which shows the presence of exotic matter.…”

Section: Advances In Astronomysupporting

confidence: 90%

“…In the literature, many researchers studied the actuality of wormhole solutions by using different kinds of exotic matter in the context of different modified theories and also tested their stability [42][43][44][45]. Recently, Mustafa et al [46] found the stable wormhole solutions for the exponential gravity model in the f(R) gravity. Samanta and Godani [47] analyze the traversable wormhole solutions with exponential shape function in modified gravity.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model

Ikram

Mustafa

2020

Advances in Astronomy

View full text Add to dashboard Cite

In this recent study, we shall investigate the wormhole models with a Hu–Sawicki model in the framework of f ℛ gravity. Spherically static symmetric space-time is considered to construct wormhole models with the anisotropic fluid distribution. The traceless matter is discussed by imposing a particular equation of state. To address the important conditions of the shape function of the wormhole geometry, we have used the particular values of the involved parameters. Furthermore, different energy conditions are discussed to check the nature of matter against two specific models. The null energy condition is observed to be violated for both of the models. It is mentioned that our inquired results are acceptable.

show abstract

Section: Advances In Astronomysupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model

Ikram

Mustafa

2020

Advances in Astronomy

View full text Add to dashboard Cite

show abstract

“…[ 18–26 ] In a recent work physically viable wormhole solutions in the

f (R)

theory of gravity with exponential model have been discussed by Mustafa et al. [ 30 ] Recently, Falco et al. have discussed the wormhole solutions through the Poynting‐Robertson effect.…”

Section: Introductionmentioning

confidence: 99%

“…[17] Classical works comprising the modified theory of f (R) gravity by Capozziello et al can be found in the literature. [18][19][20][21][22][23][24][25][26] In a recent work physically viable wormhole solutions in the f (R) theory of gravity with exponential model have been discussed by Mustafa et al [30] Recently, Falco et al have discussed the wormhole solutions through the Poynting-Robertson effect. [27,28] Non-extremal spherically symmetric instanton wormhole solution in string theory have been discussed by Bergshoeff et al [31] Maldacena et al have presented a study of some traversable wormhole geometries in the background of AdS 2 gravity.…”

Section: Introductionmentioning

confidence: 99%

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

Mustafa

Ahmad

Овгун

et al. 2021

Fortschritte der Physik

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

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

Cited by 24 publications

References 42 publications

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model

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

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

Contact Info

Product

Resources

About

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

Cited by 24 publications

References 42 publications

Wormhole Models and Energy Conditions in f ℛ Gravity with the Hu–Sawicki Model

Wormhole Models and Energy Conditions in f ℛ Gravity with the Hu–Sawicki Model

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

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

Contact Info

Product

Resources

About

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model