Effects of bumblebee gravity on neutrino motion

TL;DR

This paper investigates how bumblebee gravity, which involves spontaneous Lorentz symmetry breaking, influences neutrino behavior, including energy deposition, oscillation phases, and gravitational lensing effects, through theoretical analysis and numerical simulations.

Contribution

It introduces a novel analysis of neutrino dynamics within bumblebee gravity, comparing effects with Kalb-Ramond gravity, and provides numerical results for oscillation probabilities under Lorentz violation.

Findings

Neutrino energy deposition rates are altered by bumblebee gravity.

Neutrino oscillation phases are modified due to spacetime structure.

Gravitational lensing impacts flavor conversion probabilities.

Abstract

This study explores how the spontaneous violation of Lorentz symmetry -- modeled through a black hole solution in the context of bumblebee gravity -- affects the propagation and dynamics of neutrinos. The investigation centers on three distinct aspects: the rate of energy deposition due to neutrino-antineutrino pair annihilation, modifications to the neutrino oscillation phase driven by the underlying spacetime structure, and the influence of gravitational lensing on flavor conversion probabilities. To support the theoretical considerations, numerical simulations are conducted for oscillation probabilities in a two-flavor framework, taking into account both normal and inverted mass orderings. For comparison, the outcomes are juxtaposed with those obtained in a different Lorentz-violating background, namely, a black hole solution within Kalb-Ramond gravity.