Exact solutions for Weyl fermions with gravity

Abstract

We consider the single-handed spinor field in interaction with its own gravitational field described by the set of field equations given by 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 will 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.

12 pages

References in corpus (3)

• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Metrics With Vanishing Quantum Corrections
• Dirac fields in f(R)-gravity with torsion

Cited by in corpus (13)

• Quantum Transport in Weyl Semimetal Thin Films in the Presence of Spin-Orbit Coupled Impurities
• On the junction conditions in $f(R)$-gravity with torsion
• Singularity-free spinors in gravity with propagating torsion
• Fundamental Theory of Torsion Gravity
• Spinor fields in spherically symmetric space-time
• Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses
• Critical exact solutions for self-gravitating Dirac fields
• Axially-Symmetric Exact Solutions for Flagpole Fermions with Gravity
• Spinor solutions of a Chern-Simons model for the superconformal algebra
• Exact pp-wave solutions in shift-symmetric higher-order scalar-tensor theories
• Congruence Convergence in pp-wave Spacetime
• Angular-Radial Integrability of Coulomb-like Potentials in Dirac Equations
• Integrability of Dirac equations in static spherical space-times