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Permanent URI for this collectionhttps://acikarsiv.thk.edu.tr/handle/123456789/2550

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Author: search.filters.author.Kelekçi, ÖzgürHas files: No

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    On Kähler structures of Taub-Nut and kerr spaces
    (World Scientific Pub Co Pte Ltd, 2022-10-07) Özgür Kelekçi̇; Kelekçi, Özgür
    In this paper, we study the Kählerian nature of Taub-NUT and Kerr spaces which are gravitational instanton and black hole solutions in general relativity. We show that Euclidean Taub-NUT metric is hyper-Kähler with respect to the usual almost complex structures by employing an alternative explicit coframe, and Euclidean Kerr metric is globally conformally Kähler. We also show that conformally scaled Euclidean Kerr space admits a Kähler structure by applying a conformal scaling factor stemming from the Lee-form of the original metric or alternatively a factor coming from self-dual part of the Weyl tensor [Formula: see text].
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    Classification of Killing magnetic curves in ℍ3
    (World Scientific Pub Co Pte Ltd, 2023-08-29) Özgür Kelekçi; Furkan Semih Dündar; Gülhan Ayar; Kelekçi, Özgür
    In this paper, we study classification of magnetic curves corresponding to Killing vector fields of [Formula: see text]. First, we solve the geodesic equation analytically. Then we calculate the trajectories generated by all the six Killing vector fields, which are considered as magnetic field vectors, by using perturbation method up to first-order with respect to the strength of the magnetic field. We present a comparison of our solution with the numerical solution for one case. We also prove that 3-dimensional [Formula: see text]-Kenmotsu manifolds cannot have any magnetic vector field in the direction of their Reeb vector fields.