In Kerr spacetime, the Frenet-Serret precession frequency for timelike trajectories remains finite near the horizon in horizon-penetrating coordinates, demonstrating that Boyer-Lindquist divergences are coordinate effects dependent on the trajectory being timelike.
Using LISA extreme-mass-ratio inspiral sources to test off-Kerr deviations in the geometry of massive black holes
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Gyroscopic Precession in Axisymmetric Kerr Spacetime: Horizon Regularity and Coordinate Effects
In Kerr spacetime, the Frenet-Serret precession frequency for timelike trajectories remains finite near the horizon in horizon-penetrating coordinates, demonstrating that Boyer-Lindquist divergences are coordinate effects dependent on the trajectory being timelike.