Weyl Fermions in a Linear Class of G\"odel-Type Space-Time Backgrounds

TL;DR

This paper investigates Weyl fermions within a specific class of G"odel-type spacetimes, solving the Weyl equation to determine energy levels and wave functions in a general relativity context.

Contribution

It provides explicit solutions for Weyl fermions in G"odel-type backgrounds, expanding understanding of fermionic behavior in curved spacetimes.

Findings

Derived energy eigenvalues for Weyl fermions in G"odel-type geometries

Obtained explicit wave functions for fermions in these backgrounds

Confirmed the topologically trivial nature of the studied geometries

Abstract

We study Weyl fermions in a linear class of topologically trivial G\"odel-type geometries in Einstein's general relativity. We solve the Weyl equation and evaluate in detail the energy eigenvalues and the corresponding wave functions.