Semiclassical gravitational effects on the gravitational lensing in the spacetime of topological defects

Jusufi, Kimet; Rahaman, Farook; Banerjee, Ayan

doi:10.1016/j.aop.2017.12.013

Cited by 38 publications

(21 citation statements)

References 63 publications

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“…Eq. (35) shows that the deflection angle increases as γ increases. Therefore, it is obvious that α worm > α S > α sing for M J = M S and the same v and b, where α worm and α sing are the second-order deflection angles for the wormhole and singularity, respectively.…”

Section: Deflection Angle Of Massive Particles By Wormholesmentioning

confidence: 94%

Gravitational deflection of relativistic massive particles by wormholes

Zhou

2020

Phys. Rev. D

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In this paper, the gravitational deflection of relativistic massive particles up to the second post-Minkowskian order by static and spherically symmetric wormholes is investigated in the weak-field limit. These wormholes include the Janis-Newman-Winicour wormhole, a class of zero Ricci scalar scalar-tensor wormholes, and a class of charged Einstein-Maxwell-dilaton wormholes. With the Jacobi metric approach, the Gauss-Bonnet theorem is employed to study the gravitational deflection. In this scheme, the deflection angle as a topological effect is considered. Moreover, we analyze the influence of the spacetime parameters on the results. PACS numbers: 98.62.Sb, 95.30.Sf

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Section: Deflection Angle Of Massive Particles By Wormholesmentioning

confidence: 94%

Gravitational deflection of relativistic massive particles by wormholes

Zhou

2020

Phys. Rev. D

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“…The deflection angle due to the point like global monopole is given by 4π 2 η 2 (see, for example [87]). It is clear that due to the geometric contribution related to the wormhole thoruat, the light bending is stronger in the wormhole case compared to the point-like global monopole case.…”

Section: Gravitational Lensingmentioning

confidence: 99%

“…While for an alternative method to study gravitational lensing via GBT see the Refs. [82][83][84][85][86][87]. This paper has the following organization.…”

Section: Introductionmentioning

confidence: 99%

Conical Morris-Thorne wormholes with a global monopole charge

Jusufi

2018

Phys. Rev. D

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In this paper we have established an asymptotically conical Morris-Thorne wormhole solution supported by anisotropic matter fluid and a global monopole charge in the framework of a 1 + 3 dimensional gravity minimally coupled to a triplet of scalar fields φ a , resulting from the breaking of a global O(3) symmetry. For the anisotropic matter fluid we have considered the equation of state (EoS) given by P r = ωρ, with a consequence ω < −1, implying a so-called phantom energy at the throat of the wormhole which violates the energy conditions. In addition, we study the weak gravitational lensing effect using the Gauss-Bonnet theorem (GBT) applied to the wormhole optical geometry. We show that the total deflection angle consists of a term given by 4π 2 η 2 , which is independent from the impact parameter b, and an additional term which depends on the radius of the wormhole throat b 0 as well as the dimensionless constant ζ.

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“…Very recently, Crisnejo and Gallo used the GBT to study the deflection angle of massive particles by static spacetimes [40,41], while Jusufi investigated the gravitational deflection of massive particles by stationary spacetimes [42]. Subsequently, this method has been applied in the context of static/rotating wormholes and topological defects [43][44][45][46][47][48][49][50][51][52], including the recent work by Ono et al [53]. It is worth noting that the problem the exotic matter can be avoided in some modified theories of gravity in which the wormholes are supported by matter that satisfies the energy conditions [54][55][56][57][58][59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem

Jusufi¹

2021

Universe

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In this letter, we use a recent wormhole metric known as a ringhole [Gonzalez-Diaz, Phys. Rev. D 54, 6122, 1996] to determine the surface topology and the deflection angle of light in the weak limit approximation using the Gauss-Bonnet theorem (GBT). We apply the GBT and show that the surface topology at the wormhole throat is indeed a torus by computing the Euler characteristic number. As a special case of the ringhole solution, one can find the Ellis wormhole which has the surface topology of a 2-sphere at the wormhole throat. The most interesting results of this paper concerns the problem of gravitational deflection of light in the spacetime of a ringhole geometry by applying the GBT to the optical ringhole geometry. It is shown that, the deflection angle of light depends entirely on the geometric structure of the ringhole geometry encoded by the parameters b0 and a, being the ringhole throat radius and the radius of the circumference generated by the circular axis of the torus, respectively. As special cases of our general result, the deflection angle by Ellis wormhole is obtained. Finally, we work out the problem of deflection of relativistic massive particles and show that the deflection angle remains unaltered by the speed of the particles.

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Semiclassical gravitational effects on the gravitational lensing in the spacetime of topological defects

Cited by 38 publications

References 63 publications

Gravitational deflection of relativistic massive particles by wormholes

Gravitational deflection of relativistic massive particles by wormholes

Conical Morris-Thorne wormholes with a global monopole charge

Determining the Topology and Deflection Angle of Ringholes via Gauss-Bonnet Theorem

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