ADDENDUM on the mass neutrino oscillation in a gravitational field

TL;DR

This paper revises previous analyses of neutrino oscillations in gravitational fields by employing the general relativity energy-momentum tensor, leading to updated results while confirming the core conclusions.

Contribution

It corrects prior work by using the appropriate energy-momentum tensor in general relativity for neutrino phase calculations.

Findings

Results differ when using the general relativity tensor.

Core conclusions about neutrino oscillations in gravity remain unchanged.

Highlights importance of tensor choice in gravitational neutrino studies.

Abstract

In the article {\it Gen. Rel. Grav.} {\bf 32}, 1633 (2000), by J. G. Pereira and C. M. Zhang, the special relativity energy-momentum tensor was used to discuss the neutrino phase-splitting in a weak gravitational field. However, it would be more appropriate to use the general relativity energy-momentum tensor. When we do that, as we are going to see, some results change, but the basic conclusion remains the same.