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.
Gyroscopic Precession and Inertial Forces in Axially Symmetric Stationary Spacetimes
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abstract
We study the phenomenon of gyroscopic precession and the analogues of inertial forces within the framework of general relativity. Covariant connections between the two are established for circular orbits in stationary spacetimes with axial symmetry. Specializing to static spacetimes, we prove that gyroscopic precession and centrifugal force both reverse at the photon orbits. Simultaneous non-reversal of these in the case of stationary spacetimes is discussed. Further insight is gained in the case of static spacetime by considering the phenomena in a spacetime conformal to the original one. Gravi-electric and gravi-magnetic fields are studied and their relation to inertial forces is established.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.