Neutrino oscillations in a Kalb–Ramond black hole background

Abstract The analysis examines how neutrinos behave when their trajectories unfold around a black hole sourced by a Kalb–Ramond field, where spontaneous Lorentz symmetry-breaking reshapes the surrounding geometry. Instead of following the conventional order, the study focuses first on the observable consequences: alterations in the neutrino–antineutrino annihilation energy output, shifts in the oscillation phase accumulated along the path, and distortions in flavor conversion probabilities induced by gravitational lensing. These features are then tied to the Lorentz-violating spacetime structure, which governs the propagation of the neutrinos. Numerical simulations are carried out for both two- and three-flavor descriptions, with normal and inverted mass orderings.