Gravitational Lensing in a Model of Nonlinear Electrodynamics: The Case for Electrically and Magnetically Charged Compact Objects

Gürtuğ, Özay; Mangut, Mert

doi:10.1002/andp.201900576

Cited by 5 publications

(3 citation statements)

References 31 publications

(88 reference statements)

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“…In this section, we study the obtained bending angle δ to explore the effect of the deviation parameter γ , both for the charged and the stationary uncharged Z V -metrics. In doing so, we use the stellar data of charged compact objects [24], which were considered also in our earlier studies within the context of nonlinear electrodynamics [25,26]. Observational estimation of the mass and the radius of the compact objects considered in this study are tabulated in Table 1 [24].…”

Section: Applications In Astrophysicsmentioning

confidence: 99%

The charged Zipoy–Voorhees metric with astrophysical applications

Gürtuğ

Halilsoy²,

Mangut³

2022

Eur. Phys. J. C

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Starting from an integral of the interaction region of colliding Einstein–Maxwell waves and by applying a coordinate transformation, we obtain the charged version of the static Zipoy–Voorhees (ZV) metric valid for all values of the distortion parameter $$\gamma $$ γ . In Schwarzschild coordinates, we investigate the effect of the charge in the newly found spacetime, stress the analogy with Reissner–Nordstrom metric and discuss some of its features. It is shown that from the expression of Weyl curvature, directional singularities become manifest. For astrophysical importance, we find lensing of null geodesics from the Gauss–Bonnet theorem in such non-spherically charged objects. To prepare the ground for our null, circular geodesics we consider the angular equation linearized about the symmetry plane $$\theta =\pi /2$$ θ = π / 2 . This, in turn, suggests the distortion parameter (the ZV parameter) must be in the interval $$1/2<\gamma <1$$ 1 / 2 < γ < 1 . It is found that the lensing angle is highly dependent on the distortion parameter, and becomes decisive on the effect of the charge. For a class of charged compact stars, we plot the deflection angle versus the ratio of impact parameter to the radius of the star. Plots have revealed that for perfectly spherical compact stars, it is hard to identify the effect of electric/magnetic charge, but for non-spherical compact stars the effect of electric charge becomes apparent. For comparison, the same lensing angle has also been found for the stationary ZV metric in the equatorial plane. Our analysis indicates that depending on the value of $$\gamma $$ γ , the stationary state induces counter effect on the bending angle and thus, when compared with the uncharged static ZV case, the bending angle decreases. The influence of the parameter $$\gamma $$ γ on the gravitational redshift is also displayed.

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Section: Applications In Astrophysicsmentioning

confidence: 99%

The charged Zipoy–Voorhees metric with astrophysical applications

Gürtuğ

Halilsoy²,

Mangut³

2022

Eur. Phys. J. C

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“…Following [28], other researchers have conducted important studies on GL that are related with rotating and twisting universes, nonlinear electrodynamics, galactic halo, monopoles etc. by using their method (see for example [30][31][32][33][34][35][36]). The most important feature of this study is that rotation of the spacetime will be considered together with the cosmological constant and GL will be calculated for different compact stars.…”

Section: Introductionmentioning

confidence: 99%

Gravitational Lensing in Kerr-Newman Anti de Sitter Spacetime

Mangut¹,

Gürsel²,

Сакалли³

2021

Preprint

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In this paper we study the effects of the cosmological constant and rotation on the deflection angle of null geodesics in the equatorial plane of Kerr-Newman anti de Sitter (KNAdS) spacetime.To this end, we employ the extension of Rindler-Ishak method to compute the gravitational lensing effect. Gravitational lensing phenomena based on diffraction of light have been studied for some stars and black holes, which are assumed to fit the KNAdS geometry. The results obtained are essential and important for studies in cosmology.

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“…Our method of finding light bending is based on the method developed by Rindler and Ishak [12], which has been employed previously in different examples [13][14][15][16]. In section II, we give a brief review of this formalism.…”

Section: Introductionmentioning

confidence: 99%

Gravitational Lensing in Rotating and Twisting Universes

Gurtug,

Mangut,

Halilsoy

2020

Preprint

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Gravitational lensing caused by the gravitational field of massive objects has been being studied and acknowledged for a long period of time. In this paper, however, we propose a different mechanism where the bending of light stems from the non-linear interaction of gravitational, electromagnetic and axion waves that creates the high curvature zone in the space-time fabric. The striking distinction in the present study is that in contrast to the convex lensing in the gravitational field of a massive object, hyperbolic nature of the high curvature zone may give rise to concave lensing.

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Gravitational Lensing in a Model of Nonlinear Electrodynamics: The Case for Electrically and Magnetically Charged Compact Objects

Cited by 5 publications

References 31 publications

The charged Zipoy–Voorhees metric with astrophysical applications

The charged Zipoy–Voorhees metric with astrophysical applications

Gravitational Lensing in Kerr-Newman Anti de Sitter Spacetime

Gravitational Lensing in Rotating and Twisting Universes

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