Some Remarks on the Neutrino Oscillation Phase in a Gravitational Field

TL;DR

This paper critically examines the weak gravitational field expansion method for neutrino oscillations, revealing that phase splitting into kinematic and gravitational parts is not always feasible due to relativistic effects.

Contribution

It challenges the conventional phase splitting approach in neutrino oscillations within gravitational fields, highlighting the impact of relativistic factors.

Findings

Phase splitting is not always possible in gravitational fields.

Relativistic factors modify the interference phase condition.

The weak field expansion method has limitations in neutrino oscillation analysis.

Abstract

The weak gravitational field expansion method to account for the gravitationally induced neutrino oscillation effect is critically examined. It is shown that the splitting of the neutrino phase into a ``kinematic'' and a ``gravitational'' phase is not always possible because the relativistic factor modifies the particle interference phase splitting condition in a gravitational field.