Effects of gravitational lensing by Kaluza-Klein black holes on neutrino oscillations

TL;DR

This paper investigates how gravitational lensing by Kaluza-Klein black holes affects neutrino oscillations and suggests that such measurements could differentiate between Kaluza-Klein and general relativistic black holes, aiding in testing gravity theories.

Contribution

It introduces a method to distinguish Kaluza-Klein black holes from standard black holes through neutrino oscillation measurements in curved spacetime.

Findings

Neutrino oscillation probabilities differ in Kaluza-Klein black hole spacetimes.

Measuring these differences can help identify the nature of black holes.

Potential to test and constrain alternative gravity theories.

Abstract

We study gravitational lensing of neutrinos in a Kaluza-Klein black hole spacetime and compare the oscillation probabilities of neutrinos with the case of lensing by black holes in General Relativity. We show that measuring neutrino oscillations in curved spacetimes may allow us to distinguish the two kinds of black holes. This promises to become an useful tool for future measurements of the properties of black hole candidates and possibly help to constrain the validity of alternative theories of gravity.