Exact solutions for Weyl fermions with gravity

The European Physical Journal C

Roberto Cianci¹  Luca Fabbri¹  Stefano Vignolo¹ 

[1] DIME Sez. Metodi e Modelli Matematici, Università di Genova, Piazzale Kennedy, Pad. D, 16129, Genoa, Italy;

关键词: Field Equation;    Neutrino Masse;    Spinor Field;    Einstein Field Equation;    Massless Fermion;   

DOI  :  10.1140/epjc/s10052-015-3698-9

来源: Springer

【 摘 要 】

We consider the single-handed spinor field in interaction with its own gravitational field described by the set of field equations given by the Weyl field equations written in terms of derivatives that are covariant with respect to the gravitational connection plus Einstein field equations soured with the energy tensor of the spinor: for the Weyl spinor and the ensuing spacetime of Weyl–Lewis–Papapetrou structure, we find all exact solutions. The obtained solution for the metric tensor is that of a PP-wave spacetime, while the spinor field is a flag-dipole.

【 授权许可】

CC BY