The role of non-metricity on neutrino behavior in bumblebee gravity

TL;DR

This paper investigates how non-metricity in bumblebee gravity influences neutrino propagation, oscillations, and lensing effects, combining analytical and numerical methods in a black hole spacetime context.

Contribution

It introduces a detailed analysis of neutrino behavior modifications due to non-metricity in bumblebee gravity, including energy deposition, oscillation phase, and lensing effects.

Findings

Non-metricity affects neutrino oscillation phases.

Lensing influences neutrino flavor transition probabilities.

Numerical results show differences in oscillation patterns for different mass orderings.

Abstract

Within the context of bumblebee gravity, this work explores how non-metricity alters the behavior and propagation of neutrinos. Our analysis is based on the black hole configuration introduced in Ref. [1], focusing on how the spacetime deformation affects some neutrino-related processes. Three primary aspects are fundamentally taken into account: the modification in the energy deposition rate stemming from neutrino-antineutrino annihilation, the alterations in the oscillation phase caused by the background geometry, and the role of lensing effects on the transition probabilities among neutrino flavors. Complementing the analytical approach, numerical evaluations of oscillation probabilities are performed within a two-flavor scenario, accounting for both inverted and normal mass ordering configurations.