Neutrino Oscillations in Strong Gravitational Fields

TL;DR

This paper investigates how strong gravitational fields near black holes with complex topologies affect neutrino oscillations, providing analytical and numerical insights into these interactions.

Contribution

It introduces a study of neutrino oscillations in the context of strong, non-trivial gravitational fields, which is a novel exploration in the field.

Findings

Neutrino oscillations are influenced by strong gravitational fields.

Approximate analytical solutions are developed for specific black hole topologies.

Numerical simulations support the analytical findings.

Abstract

Neutrinos do oscillate, which up to our best knowledge implies that they are massive particles. As such, neutrinos should interact with gravitational fields. As their masses are tiny, the gravitational fields must be extremely strong. In this paper we study the influence of black holes described by non-trivial topologies on the neutrino oscillations. We present approximate analytical and numerical solutions of certain specific cases.