Neutrino oscillations in the field of a rotating deformed mass

TL;DR

This paper investigates how neutrino oscillations are affected by the gravitational field of a rotating, deformed mass using the Hartle-Thorne metric, with implications for various astrophysical neutrinos.

Contribution

It introduces a method to evaluate neutrino phase shifts in a weak gravitational field of a rotating, deformed mass using the Hartle-Thorne metric.

Findings

Derived expressions for neutrino phase shifts in the Hartle-Thorne spacetime.

Discussed potential effects on atmospheric, solar, and astrophysical neutrinos.

Provided insights into gravitational influences on neutrino oscillations.

Abstract

The neutrino oscillations in the field of a rotating deformed mass is investigated. The phase shift is evaluated in the case of weak field limit, slow rotation and small deformation. To this aim the Hartle-Thorne metric is used, which is an approximate solution of the vacuum Einstein equations accurate to second order in the rotation parameter $a/M$ and to first order in the mass quadrupole moment $q$. Implications on atmospheric, solar and astrophysical neutrinos are discussed.