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

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.