A physical classification of Killing magnetic fields in Thurston geometries
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Killing magnetic fields, physical classification, Thurston geometries
Kaynak
Mathematical Methods in The Applied Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
