Dirac spinor in a nonstationary Godel-type cosmological Universe
Victor M. Villalba
TL;DR
This paper solves the massless Dirac equation in a nonstationary Godel-type universe, revealing a discrete and unbounded frequency spectrum for Dirac particles, contributing to understanding quantum fields in rotating cosmologies.
Contribution
It provides an exact solution for the Dirac equation in a nonstationary Godel-type universe and analyzes the resulting frequency spectrum, which was not previously known.
Findings
The spectrum of massless Dirac particles is discrete.
The spectrum is unbounded.
The universe considered has constant rotational speed.
Abstract
In the present article we solve, via separation of variables, the massless Dirac equation in a nonstationary rotating, causal G\"odel-type cosmological universe, having a constant rotational speed in all the points of the space. We compute the frequency spectrum. We show that the spectrum of massless Dirac particles is discrete and unbounded.
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