Chern-Simons Current of Left and Right Chiral Superspace in Graphene Wormhole

Capozziello, Salvatore; Pinčák, Richard; Bartoš, Erik

doi:10.3390/sym12050774

Cited by 42 publications

(10 citation statements)

References 44 publications

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“…Einstein and Rosen [33], in 1935, expressed the mathematical formalism for WHs in GR and suggested the WH solutions famed as Lorentzian wormholes or Schwarzchild wormholes. Numerous authors in literature [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48] have developed WH solution by generating different admissible and viable results with the inclusion of several types of exotic fluids like quintom, scalar field models, non-commutative geometry and electromagnetic field, and discussed the energy conditions for different modified theories of gravity. Some valuable stable results for WHs without the inclusion of exotic matter are also discussed in the literature [49,50].…”

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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“…can be found in the literature. [ 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.…”

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

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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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“…In the low energy physics, two-dimensional nanostructures, such as graphene [27][28][29] and phosphorene [30], have attracted attention due to their unusual properties. The electronic properties of such two-dimensional systems are highly dependent on the geometry [31][32][33], so that they can be used as analogue models for high energy physics systems [14,[34][35][36]. In addition, the effect of curvature in such two-dimensional systems opens the possibility of constructing new electronic devices based on curved graphene struc-tures has motivated the study of graphene in several curved surfaces, such as Möbius-strip [37], ripples [38], corrugated surfaces [39], catenoid [40][41][42][43], Torus [44][45][46], paraboloid [47], spheres [48], among others.…”

Section: Introductionmentioning

confidence: 99%

Generalized Ellis-Bronnikov graphene wormhole

Souza¹,

Ramos²,

Filho³

et al. 2022

Preprint

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In this paper, we investigate the spinless stationary Schrödinger equation for the electron when it is permanently bound to a generalized Ellis-Bronnikov graphene wormhole-like surface. The curvature gives rise to a geometric potential affecting thus the electronic dynamics. The geometry of the wormhole's shape is controlled by the parameter n which assumes even values. We discuss the role played by the parameter n and the orbital angular momentum on bound states and probability density for the electron.

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Chern-Simons Current of Left and Right Chiral Superspace in Graphene Wormhole

Cited by 42 publications

References 44 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 Wormholes in the Extended Teleparallel Theory of Gravity with Matter Coupling

Generalized Ellis-Bronnikov graphene wormhole

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