Weyl neutrinos in plane symmetric spacetimes
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
General Relativity and Gravitation
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We investigate complex quaternion-valued exterior differential forms over 4-dimensional Lorentzian spacetimes and explore Weyl spinor fields as minimal left ideals within the complex quaternion algebra. The variational derivation of the coupled Einstein–Weyl equations from an action is presented, and the resulting field equations for both first and second order variations are derived and simplified. Exact plane symmetric solutions of the Einstein–Weyl equations are discussed, and two families of exact solutions describing left-moving and right-moving neutrino plane waves are provided. The study highlights the significance of adjusting a quartic self-coupling of the Weyl spinor in the action to ensure the equivalence of the field equations.
Açıklama
Anahtar Kelimeler
Neutrino waves, Plane symmetric spacetimes, Weyl equation, Exact solutions, General relativity
Kaynak
General Relativity and Gravitation
WoS Q Değeri
Scopus Q Değeri
Cilt
55
Sayı
11
Künye
Dereli, T. and Şenikoğlu, Y. (2023). Weyl neutrinos in plane symmetric spacetimes. General Relativity and Gravitation, 55(11), p.1-20.
