Zero Energy of Plane-Waves for ELKOs

TL;DR

This paper demonstrates that plane wave solutions of ELKO fields interacting via contorsion lead to autointeractions with zero energy density, highlighting unique properties of these fields in high-density regimes.

Contribution

It introduces a novel analysis of ELKO fields with contorsional interactions, revealing zero-energy plane wave solutions in high-density limits.

Findings

Plane wave solutions exhibit zero energy density.

Contorsional autointeractions occur with Ricci curvature vanishing.

High-density limit simplifies the interaction structure.

Abstract

We consider the ELKO field in interaction through contorsion with its own spin density, and we investigate the form of the consequent autointeractions; to do so we take into account the high-density limit and find plane wave solutions: such plane waves give rise to contorsional autointeractions for which the Ricci metric curvature vanishes and therefore the energy density is equal to zero identically. Consequences are discussed.