Publication: Weyl neutrinos in plane symmetric spacetimes
Program
School / College / Institute
College of Sciences
KU-Authors
KU Authors
Co-Authors
Şenikoğlu, Yorgo
Publication Date
Language
Type
Embargo Status
Journal Title
Journal ISSN
Volume Title
Alternative Title
Abstract
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.
Source
Publisher
Springer
Subject
Physics
Citation
Has Part
Source
General Relativity and Gravitation
Book Series Title
Edition
DOI
10.1007/s10714-023-03175-8