Gyroscopic Precession in Axisymmetric Kerr Spacetime: Horizon Regularity and Coordinate Effects
This paper demonstrates that the apparent divergence of gyroscopic precession frequency near the Kerr black hole horizon is a coordinate artifact specific to Boyer-Lindquist coordinates, as the frequency remains finite in horizon-penetrating Kerr-Schild coordinates, proving that regularity is determined by the timelike nature of the trajectory rather than the horizon itself.