Study of neutrino spin oscillations in a gravitational field with a differential equations method

TL;DR

This paper investigates neutrino spin oscillations near a rotating Kerr black hole using a differential equations approach, comparing it with the traditional integral solution method of the Hamilton-Jacobi equation.

Contribution

It introduces a differential equations method for studying neutrino spin oscillations in gravitational fields and compares it with the existing integral solution approach.

Findings

Differential equations method provides consistent results with the integral approach.

The new method offers a potentially more straightforward way to analyze neutrino spin dynamics.

Comparison enhances understanding of neutrino behavior in strong gravitational fields.

Abstract

In this work, we employ Ordinary Differential Equation solution method to study neutrino spin oscillations in the case when they are gravitationally scattered off a rotating Kerr black hole. Previously, this problem involved the integral solution of the Hamilton-Jacobi equation. We analyze the consistency of these two methods.