Nonommutative wormholes in f(R) gravity

Jamil, Mubasher; Rahaman, Farook; Myrzakulov, Ratbay; Kuhfittig, Peter K. F.; Ahmed, Nasr; Mondal, U. F.

doi:10.3938/jkps.65.917

Cited by 78 publications

(26 citation statements)

References 20 publications

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“…Abreu and Sasaki [24] studied the effects of null energy condition (NEC) and weak energy condition (WEC) with noncommutative wormhole. Jamil et al [25] discussed the same work in ( ) theory. Sharif and Rani [26] investigated wormhole solutions with the effects of electrostatic field and for galactic halo regions in ( ) gravity.…”

Section: Introductionmentioning

confidence: 67%

Lorentz Distributed Noncommutative F(T,TG) Wormhole Solutions

Sharif

Nazir

2018

Advances in High Energy Physics

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The aim of this paper is to study static spherically symmetric noncommutative ( , ) wormhole solutions along with Lorentzian distribution. Here, and are torsion scalar and teleparallel equivalent Gauss-Bonnet term, respectively. We take a particular redshift function and two ( , ) models. We analyze the behavior of shape function and also examine null as well as weak energy conditions graphically. It is concluded that there exist realistic wormhole solutions for both models. We also studied the stability of these wormhole solutions through equilibrium condition and found them stable.

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Section: Introductionmentioning

confidence: 67%

Lorentz Distributed Noncommutative F(T,TG) Wormhole Solutions

Sharif

Nazir

2018

Advances in High Energy Physics

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“…Some aspects of wormholes in f (R) modified gravity with a noncommutative-geometry background have already been discussed in Ref. [19] based on the Gaussian distribution. The emphasis is on wormhole solutions obtained from the power-law form f (R) = aR n , particularly for higher powers.…”

Section: Introductionmentioning

confidence: 99%

Wormholes in f(R) gravity with a noncommutative-geometry background

Kuhfittig

2018

Indian J Phys

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This paper discusses the possible existence of traversable wormholes in f (R) modified gravity while assuming a noncommutative-geometry background, as well as zero tidal forces. The first part of the paper aims for an overview via several shape functions by determining the corresponding wormhole solutions and their properties. The solutions are made complete by deriving the modified-gravity functions F (r) and f (R), where F = df /dR. It is subsequently shown that the violation of the null energy condition can be attributed to the combined effects of f (R) gravity and noncommutative geometry. The second part of the paper reverses the strategy by starting with a special form of f (R) and determining the wormhole solution and the concomitant F (r). The approach in this paper differs in significant ways from that of Jamil et al., J. Korean Physical Soc. 65 917 (2014).

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“…Wormhole spacetimes filled with phantom type matter were considered before [18]. Specifically, spherically symmetric static wormholes were studied, sustained by a phantom type matter (or super-quintessence) with anisotropic pressure.…”

Section: Introductionmentioning

confidence: 99%

Phantom evolving wormholes with big rip singularities

Cataldo

Meza

2013

Phys. Rev. D

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We investigate a family of inhomogeneous and anisotropic gravitational fields exhibiting a future singularity at a finite value of the proper time. The studied spherically symmetric spacetimes are asymptotically Friedmann-Robertson-Walker at spatial infinity and describe wormhole configurations filled with two matter components: one inhomogeneous and anisotropic fluid and another isotropic and homogeneously distributed fluid, characterized by the supernegative equation of state ω = p/ρ < −1. In previously constructed wormholes, the notion of the phantom energy was used in a more extended sense than in cosmology, where the phantom energy is considered a homogeneously distributed fluid. Specifically, for some static wormhole geometries the phantom matter was considered as an inhomogeneous and anisotropic fluid, with radial and lateral pressures satisfying the relations pr/ρ < −1 and p l = pr, respectively. In this paper we construct phantom evolving wormhole models filled with an isotropic and homogeneous component, described by a barotropic or viscous phantom energy, and ending in a big rip singularity. In two of considered cases the equation of state parameter is constrained to be less than −1, while in the third model the finite-time future singularity may occur for ω < −1, as well as for −1 < ω ≤ 1.

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Nonommutative wormholes in f(R) gravity

Cited by 78 publications

References 20 publications

Lorentz Distributed Noncommutative F(T,TG) Wormhole Solutions

Lorentz Distributed Noncommutative F(T,TG) Wormhole Solutions

Wormholes in f(R) gravity with a noncommutative-geometry background

Phantom evolving wormholes with big rip singularities

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