Publication:
Weyl neutrinos in plane symmetric spacetimes

Placeholder

Organizational Units

Program

School / College / Institute

College of Sciences

KU-Authors

KU Authors

Co-Authors

Şenikoğlu, Yorgo

Publication Date

Language

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

item.page.datauri

Link

Rights

Rights URL (CC Link)

Copyrights Note

Endorsement

Review

Supplemented By

Referenced By

0

Views

0

Downloads

View PlumX Details