Abstract

Gravitoelectromagnetism has been used to analyse test particle motion (circular orbits) in black hole spacetimes, where it has been possible to study inertial forces according to the most appropriate general relativistic definition and compare with the corresponding Newtonian behaviour. Relative Frenet-Serret frames were introduced which generalize the spatial Frenet-Serret machinery needed for the analysis of test particle motion in classical mechanics. This approach and its application to general circular (nonequatorial orbits) in a Kerr spacetime are reviewed here.

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