Possible effects of spacetime non-metricity on neutrino oscillations

TL;DR

This paper investigates how spacetime non-metricity and torsion could influence neutrino oscillations near the Sun, but finds these effects are too small to explain the solar neutrino deficit.

Contribution

It models gravitational neutrino oscillations in a non-Riemannian spacetime with torsion and non-metricity, analyzing their potential impact on solar neutrino observations.

Findings

Non-metricity and torsion components may affect neutrino oscillations.

Effects are of the order of Planck scales, too small to explain the solar neutrino deficit.

Solar rotation may suppress neutrino transition probabilities.

Abstract

The contribution of gravitational neutrino oscillations to the solar neutrino problem is studied by constructing the Dirac Hamiltonian and calculating the corresponding dynamical phase in the vicinity of the Sun in a non-Riemann background Kerr space-time with torsion and non-metricity. We show that certain components of non-metricity and the axial as well as non-axial components of torsion may contribute to neutrino oscillations. We also note that the rotation of the Sun may cause a suppression of transitions among neutrinos. However, the observed solar neutrino deficit could not be explained by any of these effects because they are of the order of Planck scales.