A physical classification of killing magnetic fields in thurston geometries

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dc.contributor.authorDundar, Furkan Semih
dc.contributor.authorKelekçi, Özgür
dc.contributor.authorAyar, Gülhan
dc.date.accessioned2025-01-12T17:19:36Z
dc.date.available2025-01-12T17:19:36Z
dc.date.issued2024
dc.departmentKMÜ, Kamil Özdağ Fen 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.citationDündar, F. S., Kelekçi, Ö., & Ayar, G. (2025). A physical classification of killing magnetic fields in thurston geometries. Mathematical Methods in the Applied Sciences, 48(4), 5016–5023. https://doi.org/10.1002/mma.10589
dc.identifier.doi10.1002/mma.10589
dc.identifier.endpage5023
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85208131297
dc.identifier.scopusqualityQ1
dc.identifier.startpage5016
dc.identifier.urihttps://doi.org/10.1002/mma.10589
dc.identifier.urihttps://hdl.handle.net/11492/10097
dc.identifier.volume48
dc.identifier.wosWOS:001357320700001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorAyar, Gülhan
dc.institutionauthoridAyar, Gülhan/0000-0002-1018-4590
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
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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