Lorentz Symmetry Violation in Neutrinos in Curved Spacetime and its Consequences

TL;DR

This paper explores how neutrinos in curved spacetime violate Lorentz and CPT symmetry due to spin-connection coupling, affecting neutrino oscillations and potentially causing neutrino asymmetry.

Contribution

It introduces a mechanism where neutrino spin coupling in curved spacetime leads to Lorentz and CPT violation, impacting neutrino behavior.

Findings

Neutrino dispersion relations are modified in curved spacetime.

Neutrino asymmetry can arise due to Lorentz violation.

Neutrino oscillation probabilities are affected by spacetime curvature.

Abstract

The neutrino propagating in curved spacetimes, e.g. around black holes, in early curved universe, violates Lorentz and then CPT symmetry, at least in the local coordinate. This occurs due to coupling of spin of the neutrino to background spin connection which modifies the underlying dispersion relation. This results in the neutrino asymmetry and hence as a consequence neutrino oscillation probability gets affected.