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

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 even in the weak-field limit, as opposed to what happens for the weak lensing of photons. 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.

Anomalous cyclic in the neutrino oscillations

“…However, in this study, we only considered time-fractional dynamics for simplicity. On the other hand, one can see from literature that phase shift problem in the neutrino oscillation has been studied by using different mechanisms 26 , 27 , 51 , 52 .…”

Neutrino oscillations in the Non-Kerr black hole with quantum phenomenon*

“…Previous studies [41,42,43] have explored three distinct scenarios that give rise to neutrino oscillation: (a) a flat spacetime, (b) a curved spacetime within a non-rotating frame, and (c) a curved spacetime within a rotating frame. In scenarios (a) and (b), the phase difference of the neutrinos relies solely on and does not involve the spin connection, resulting in the following phase difference [44]:…”