Noncommutative Wormholes in f(R) Gravity with Lorentzian Distribution

Rahaman, Farook; Banerjee, Ayan; Jamil, Mubasher; Yadav, Anil Kumar; Idris, Humaira

doi:10.1007/s10773-013-1993-5

Cited by 64 publications

(44 citation statements)

References 18 publications

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“…In 1988, it was shown [50] that wormholes could be large enough for humanoid travelers and even permit time travel. In the literature [51][52][53][54][55][56][57][58][59] numerous authors constructed wormholes by including different types of exotic matter like quintom, scalar field models, non-commutative geometry and electromagnetic field etc. and obtained different interesting and physically viable results.…”

Section: Introductionmentioning

confidence: 99%

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

et al. 2017

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In this paper, we discuss spherically symmetric wormhole solutions in f (R, T ) modified theory of gravity by introducing well-known non-commutative geometry in terms of Gaussian and Lorentzian distributions of string theory. For analytic discussion, we consider an interesting model of f (R, T ) gravity defined by f (R, T ) = f 1 (R) + λT . By taking two different choices for the function f 1 (R), that is, f 1 (R) = R and f 1 (R) = R + α R 2 + γ R n , we discuss the possible existence of wormhole solutions. In the presence of non-commutative Gaussian and Lorentzian distributions, we get exact and numerical solutions for both these models. By taking appropriate values of the free parameters, we discuss different properties of these wormhole models analytically and graphically. Further, using an equilibrium condition, it is found that these solutions are stable. Also, we discuss the phenomenon of gravitational lensing for the exact wormhole model and it is found that the deflection angle diverges at the wormhole throat.

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Section: Introductionmentioning

confidence: 99%

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

et al. 2017

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“…Hawking temperature, entropy, and the area law for a Schwarzschild black hole in the noncommutative spacetime. Noncommutative wormholes in f (R) gravity with a Lorentzian distribution have been analyzed in [13]. The BTZ black hole inspired by noncommutative geometry has been discussed in [14].…”

Section: Introductionmentioning

confidence: 99%

Search of wormholes in different dimensional non-commutative inspired space-times with Lorentzian distribution

Bhar

Rahaman

2014

Eur. Phys. J. C

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In this paper we ask whether the wormhole solutions exist in different dimensional noncommutativityinspired spacetimes. It is well known that the noncommutativity of the space is an outcome of string theory and it replaced the usual point-like object by a smeared object. Here we have chosen the Lorentzian distribution as the density function in the noncommutativity-inspired spacetime. We have observed that the wormhole solutions exist only in four and five dimensions; however, in higher than five dimensions no wormhole exists. For five dimensional spacetime, we get a wormhole for a restricted region. In the usual four dimensional spacetime, we get a stable wormhole which is asymptotically flat.

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“…Second, they explored these solutions with the help of the shape function. Taking into account a Lorentzian distribution of the energy density, Rahaman et al [19] derived some new exact solutions in the same manner and gave some viable wormhole solutions.…”

Section: Introductionmentioning

confidence: 99%

Non-minimal coupling of torsion–matter satisfying null energy condition for wormhole solutions

Jawad

Rani

2016

Eur. Phys. J. C

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We explore wormhole solutions in a non-minimal torsion-matter coupled gravity by taking an explicit nonminimal coupling between the matter Lagrangian density and an arbitrary function of the torsion scalar. This coupling describes the transfer of energy and momentum between matter and torsion scalar terms. The violation of the null energy condition occurred through an effective energy-momentum tensor incorporating the torsion-matter non-minimal coupling, while normal matter is responsible for supporting the respective wormhole geometries. We consider the energy density in the form of non-monotonically decreasing function along with two types of models. The first model is analogous to the curvature-matter coupling scenario, that is, the torsion scalar with T -matter coupling, while the second one involves a quadratic torsion term. In both cases, we obtain wormhole solutions satisfying the null energy condition. Also, we find that the increasing value of the coupling constant minimizes or vanishes on the violation of the null energy condition through matter.

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Noncommutative Wormholes in f(R) Gravity with Lorentzian Distribution

Cited by 64 publications

References 18 publications

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

Search of wormholes in different dimensional non-commutative inspired space-times with Lorentzian distribution

Non-minimal coupling of torsion–matter satisfying null energy condition for wormhole solutions

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