The charged Zipoy–Voorhees metric with astrophysical applications

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dc.authorid0000-0003-1980-4829en_US
dc.contributor.authorGürtuğ, Özay
dc.contributor.authorHalilsoy, Mustafa
dc.contributor.authorMangut, Mert
dc.contributor.authorGürtuğ, Özay
dc.date.accessioned2024-07-12T20:58:00Z
dc.date.available2024-07-12T20:58:00Z
dc.date.issued2022en_US
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractStarting 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 (Z V) metric valid for all values of the distortion parameter ? . 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 ? = ?/2. This, in turn, suggests the distortion parameter (the Z V parameter) must be in the interval 1/2 <? < 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 nonspherical compact stars the effect of electric charge becomes apparent. For comparison, the same lensing angle has also been found for the stationary Z V metric in the equatorial plane. Our analysis indicates that depending on the value of ? , the stationary state induces counter effect on the bending angle and thus, when compared with the uncharged static Z V case, the bending angle decreases. The influence of the parameter ? on the gravitational redshift is also displayed.en_US
dc.identifier.citationGürtuğ, O., Halilsoy, M. and Mangut, M. (2022). The charged Zipoy–Voorhees metric with astrophysical applications. The European Physical Journal C, 82(671), p.1-23.en_US
dc.identifier.doi10.1140/epjc/s10052-022-10626-0
dc.identifier.endpage23en_US
dc.identifier.issue671en_US
dc.identifier.scopus2-s2.0-85135440385en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.prg/10.1140/epjc/s10052-022-10626-0
dc.identifier.urihttps://hdl.handle.net/20.500.12415/3118
dc.identifier.volume82en_US
dc.identifier.wosWOS:000836242000005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorGürtuğ, Özay
dc.language.isoenen_US
dc.publisherThe European Physical Journal Cen_US
dc.relation.ispartofThe European Physical Journal Cen_US
dc.relation.publicationcategoryUluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKY03511
dc.subjectMetricen_US
dc.subjectTheoremen_US
dc.titleThe charged Zipoy–Voorhees metric with astrophysical applicationsen_US
dc.typeArticle
dspace.entity.typePublication

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