A Physical Classification of Killing Magnetic Fields In Thurston Geometries.

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dc.contributor.authorDündar, F S.
dc.contributor.authorKelekçi, Ö.
dc.contributor.authorAyar, Gülhan
dc.date.accessioned2026-01-10T13:00:39Z
dc.date.available2026-01-10T13:00:39Z
dc.date.issued2024
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn recent years, numerous studies have appeared that considered Killing vectors of three-dimensional Riemannian manifolds as magnetic fields, since these vector fields are divergenceless by definition. The existence of adivergenceless vector field modeled as a magnetic field does not imply that it is physically realizable. In this study, we propose a physical classification scheme based on the divergences of the integral that defines the energy of a Killing magnetic field. We consider all the Killing magnetic fields of Thurston geometries studied in the literature and classify them as either physical or nonphysical.
dc.identifier.doi10.1002/mma.10589
dc.identifier.endpage5023
dc.identifier.issue48
dc.identifier.startpage5016
dc.identifier.urihttps://doi.org/10.1002/mma.10589
dc.identifier.urihttps://hdl.handle.net/20.500.12684/22171
dc.identifier.volume4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20260110
dc.subjectKilling magnetic fields
dc.subjectphysical classification
dc.subjectThurston geometries
dc.titleA Physical Classification of Killing Magnetic Fields In Thurston Geometries.
dc.typeArticle

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