Spin-mediated modulation of chaos bound violation in Lorentz-violating black hole spacetimes

Abstract

We investigate how the particle spin modulates chaos bound violations in Lorentz-violating black hole spacetimes within the framework of Bumblebee gravity. Using the Mathisson-Papapetrou-Dixon formalism, we analyze the effects of spin-curvature coupling, Lorentz symmetry breaking, and the cosmological constant on the orbital instability in static spherically symmetric (A)dS black holes. We find that the particle spin provides a tunable mechanism for the violations by lowering the critical angular momentum required to enter the violation regime. The Lorentz-violating parameter suppresses the violations by reducing the accessible parameter space and the critical charge. Meanwhile, a negative cosmological constant decreases the violation region but enhances the violation magnitude for allowed configurations. Our results demonstrate that the spin and Lorentz symmetry breaking jointly regulate the interplay between orbital instability and black hole horizon properties.